Finding the slope from points

Finding The Slope From Points

Answers

Answer 1

Answer:

m = -3

Step-by-step explanation:

The formula to find the slope of the line is :

slope = m = [tex]\frac{y_1 - y_2}{x_1-x_2}[/tex]

Given that the two coordinates of the line are :

( -1 , - 7 ) ⇒ ( x₁ , y₁ )

( 1 , -13 )  ⇒ ( x₂ , y₂ )

Let us solve now.

m = ( y₁ - y₂ ) ÷ ( x₁ - x₂ )

m =  ( -7 - ( -13)) ÷ ( -1 - 1 )

m = ( -7 + 13 ) ÷ ( -2 )

m = 6 ÷ -2

m = -3

Answer 2

Answer:

m = -3

Step-by-step explanation:

Given two points:

(-1,-7) & (1,-13)

To Find:

The slope

Solution:

Using slope's formulae,

[m denotes slope]

[tex] \boxed{ \rm{m = \cfrac{y_2 -y_1 }{x_2 - x_1} }}[/tex]

According to the question, on the formula:

(y_2,y_1) = (-13,-7)(x_2,x_1) = (1,-1)

Substitute them onto the formulae:

[tex] \rm \: m = \cfrac{ - 13 - ( - 7)}{1 - ( - 1)} [/tex]

Simplify using PEMDAS:

P = ParenthesesE = exponentsM = MultiplicationD = DivisionA = additionS = subtraction

[tex] \rm \: m = \cfrac{ - 13 + 7}{1 \ + 1} [/tex]

[tex] \rm \: m = \cfrac{ - \cancel6}{ \cancel2} = \boxed{ - 3}[/tex]

Hence, the slope of the line that passes through the given points in it's simplest form is -3.


Related Questions

what the volume of the soild

Answers

Answer:

A.264

Step-by-step explanation:

((Area Of triangle*height)=Volume

Area of triangle is the base of the triangle multiplied by height of triangle divided by 2

((8*6)/2)*11=264

Find the output, y, when the input, a, is 4.
-8-0
6
2
09
a

Answers

2 is the output but I’m not sure make sure it is right


An intravenous solution needs 2 liters (L) of glucose to be mixed with 7 units of blood. How much glucose (in liters) is needed for 30 units of blood

Answers

8.57 liters glucose (in liters) is needed for 30 units of blood.

What is Unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

For 7 units of blood = 2 l of glucose needed.

Foe 1 units of blood, glucose needed = 2/7

For, 30 units of blood , glucose needed = 8.57 liters

Hence, 8.57 liters glucose (in liters) is needed for 30 units of blood.

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Question 6(Multiple Choice Worth 1 points)
(01.05 LC)
Which calculation can be used to find the value of q in the equation q³ = 64?

Answers

Answer:

q = ³√64

(cube root 64 )

explanation :

we have to find the value of q but it's given q³ so to find the value of only q we send ³ to other side and it turns into cube root

for example :

like when it's q² = 64 it will be q = ²√64

a camp charges $40 per student for a full-day camp and the camp only runs if 5 students enroll but the enrollment limit is 16 students. the amount of revenue that the camp collects is a function of the number of students that enrolled defined by this equation: [tex]R(n)=40n[/tex]
please describe the set of all possible outputs of this function
please describe the set of all possible inputs of this function

Answers

The set of input of the function are {5, 6, 7, 8, 9,10, 11, 12,13, 14, 15, 16 }

The set of output of the function is a multiple of 40 from 200 to 640

How to find the output and input of a function?

The input of the function can be found as follows:

The camp can only run if we have at least 5 students.

The limits of student is 16.

Therefore, the input are  {5, 6, 7, 8, 9,10, 11, 12,13, 14, 15, 16 }

The output are the dependent variables or the range. They are gotten when we input the values of the input in the function.

Therefore,

R(n) = 40n

R(5) = 40(5) = 200

R(16) = 40(16) = 640

The output are multiple of 40 from 200 to 640

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Answer me pleaseeee. What is 3*3*3*3*3*3*3*3*8*8*0*8*8*9*8*6? Gk test​

Answers

Answer:

0

Step-by-step explanation:

Since we're multiplying by 0, the entire product becomes 0.

Answer:

it's 0.

Step-by-step explanation:

3*3*3*3*3*3*3*3*8*8*0*8*8*9*8*6

= 0

there is a zero hidden . so it's zero.

Jordan is planning to buy a vehicle. He has the following choices.

Type: sedan or SUV
Transmission: 5-speed or automatic
Color: red, blue, black, green, or silver
Top: sunroof or no sunroof

Jordan says that he has a total of 2 + 2 + 5 + 2, or 11, possible vehicle choices. What is Jordan’s error?
He should have multiplied the sum by 4.
He should have added only the choices for type and transmission.
He should have multiplied only the choices for type and transmission.
He should have multiplied the choices, instead of adding them.

Answers

Jordan's error is He should have multiplied the choices, instead of adding them. Thus, the correct option is D.

What are the number of choices?

Whenever you have multiple choices, you have to multiply the number of choices you have in different groups to get the final number of choices.

For example, you have to make a sandwich and you can either use white bread or brown bread. Also, you can either use jam or peanut butter or veggies. Therefore, here the number of choices is 6.

White bread and JamWhite bread and Peanut butterWhite bread and VeggiesBrown bread and JamBrown bread and Peanut butterBrown bread and Veggies

Similarly, Jordan has two choices for type, two choices for transmission, 5 choices for color, and 2 choices for the top. Therefore, the number of choices Jordan has is,

Number of choices in total = 2 × 2 × 5 × 2

Hence, Jordan's error is He should have multiplied the choices, instead of adding them. Thus, the correct option is D.

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Answer:

D

Step-by-step explanation:

5m + 6n; m = 2 and n = 4

Answers

Answer:

34

Step-by-step explanation:

Substitute values given into expression and simplify  :

5(2) + 6(4) =

10 + 24 =

34

Hope this helped and have a good day

Choose the answer.
Use the net to determine the total surface area.

Answers

square surface area - 6x6 = 36
triangle = 1/2x4x6 = 12
4 tris = 12x4 = 48

total surface area = 48 + 36 = 84

answer : 84cm^2

Answer:76cm³

Step-by-step explanation:

5x4÷2=10cm²

10cm²x4=40cm²

6²=36cm²

40+36=76cm³

What are the zeros of the quadratic function f(x) = 6x² - 24x + 1?

A.
[tex]x = - 2 + \sqrt{ \frac{1}{2} } or \: x = - 2 \: - \sqrt{ \frac{1}{2} } [/tex]
B.
[tex]x = 2 + \sqrt{ \frac{1}{2} } \: or \: x = 2 - \sqrt{ \frac{1}{2} } [/tex]
C.
[tex]x = - 2 + \sqrt{ \frac{23}{6} } \: or \: x = - 2 - \sqrt{ \frac{23}{6} } [/tex]
D.
[tex]x = 2 + \sqrt{ \frac{23}{6} } \: or \: x = 2 - \sqrt{ \frac{23}{6} } [/tex]

Answers

Answer:

D.

Step-by-step explanation:

Use Quadratic formula

x =  [-b +- sqrt (b^2 - 4ac) ]  / 2a     with a = 6   b = -24    c = 1

  to find

         x = 2 ± sqrt (23/6)

Students are voting on the color of T-shirts to wear on their field trip. There are 160 students–65 boys and 95 girls–going on the field trip. A random sample of students is chosen. Surveying the random sample produced a representative sample of the population. Which was most likely true of the representative sample?
The representative sample contained all 160 students.
The representative sample contained more boys than girls.
The representative sample contained more girls than boys.
The representative sample contained an equal number of boys and girls.

Answers

Answer:

The representative sample contained more girls than boys.

Step-by-step explanation:

Since there is roughly 1.5x more girls than boys, the sample size will likely contain more girls than boys when chosen at random.

congruent figures someone please help

Answers

5x=63 your answer is 12.6

Graph the function y = x3 + x2 – 6x + 5. What are the coordinates, to the nearest tenth, of the relative maximum of the graph?

(1.1, 0.9)
(1.5, 1.3)
(–2.2, 15.8)
(–1.8, 13.2)

Answers

The coordinates, to the nearest tenth, of the relative maximum of the graph is (-1.8,13.2)

How to determine the relative maximum?

The equation of the function is given as:

y = x^3 + x^2 – 6x + 5

Next, we plot the graph of the function (see attachment)

From the attached graph, we have the relative maximum to be at:

(x,y) = (-1.8,13.2)

Hence, the coordinates, to the nearest tenth, of the relative maximum of the graph is (-1.8,13.2)

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brian is 6 feet tall and cast a 4 foot shadow. At the same time, a nearby flag pole cast a 20 foot shadow. How tall is the flag pole?

Answers

Answer:

30

Step-by-step explanation:

Given:

Brian Height = 6 feet

Brian Shadow Height = 4 foot

Flag Shadow Height = 20 foot

Flag Height = Unknown ??

So we can use cross multiplication

6/4 = x/20

6×20/4 = x

6×20 =120

120÷4 = 30

So x= 30, which is the Flag Height

I wish that I helped you with this.

As per linear equation, the  height of the flag pole is 30 feet.

What is a linear equation?

A linear equation is an equation that has one or multiple variables with the highest power of the variable is 1.

Given, Brian is 6 feet tall and cast a 4 feet shadow.

Therefore, the ratio of Brain and it's shadow is

= 6/4

= 1.5

A flag pole cast a 20 foot shadow.

Therefore, the height of the flag pole is

= 20 × 1.5 feet

= 30 feet.

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Can someone help me

Answers

Answer:

1) 33.333...%

2) 33.333...%

Step-by-step explanation:

4 students out of 12 are wearing all color.

4 students out of 12 are wearing blue shoes.

The Code of Conduct ____________ for military members when isolated or held against their will by entities hostile to the U.S.

Answers

The Code of Conduct is a moral guide for military members when isolated or held against their will by entities hostile to the U.S.

What is a code of conduct?

A code of conduct is a set of laid down rules that sets the standard for behavior under specific circumstances.

Hence, the Code of Conduct is a moral guide for military members when isolated or held against their will by entities hostile to the U.S.

Missing parts;

The Code of Conduct is a ____________ for military members when isolated or held against their will by entities hostile to the U.S. moral guide recommended procedure mandatory directive direct order

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can someone help me find the missing ones​

Answers

Answer:

The answer is in Step.

Step-by-step explanation:

Domain: (- inf, + inf)

Range: (- inf, 3]
Increasing: (- inf , 0)

Decreasing: (0 , + inf)
Positive: (- 1 , 1 )
Negative: (- inf , -1) , (1 , + inf)

Maximum: (0,3) or just 3.

Minimum: None.
x-int: -1, 1
y-int: 3

If the total bill was $36 and I leave the waiter 9$, what percent is the tip

Answers

Answer:

25%

Step-by-step explanation:

percent = part/whole × 100%

percent = 9/36 × 100%

percent = 25%

Answer:

25%

Step-by-step explanation:

If you divide 36 by 9 you get 4.  If you do the same for 100, and divide by four, you get 25.  Therefore, 9 is 25% of 36.

Find the equation of a line passing through (3,4) and (1,-4). Enter your answer in the slope-intercept form (namely, type your answer exactly in the form of y = mx + b).​

Answers

Answer:

y=4x−8

Step-by-step explanation:

A biology class at Central High School predicted that a local population of animals will double in size every 12 years. The population at the beginning of 2014 was estimated to be 50 animals. If P represents the population n years after 2014, then which of the following equations represents the class's model of the population over time?
p = 12 + 50m
p = 50(2)^ 12n
p = 50 + 12n
p = 50(2)^(n/12)​

Answers

The equation represents the class's model of the population over time will be P = 50(2)^(n/12). Then the correct option is D.

What is an exponent?

Consider the function:

y = a (r)ⁿ

Where n is the number of times this growth occurs, a = initial amount, and r = increasing amount of growth.

A biology class at Central High School predicted that a local population of animals will double in size every 12 years.

The population at the beginning of 2014 was estimated to be 50 animals.

If P represents the population n years after 2014.

Then the equation represents the class's model of the population over time will be

[tex]\rm P = 50(2)^{n/12}[/tex]

Then the correct option is D.

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Answer: D is correct

Step-by-step explanation:

PLEASE HELP! PLEASE!!!!!!!

Answers

Using the equation of the proportional relationship:

Average rate of speed = 60

Time taken to go 300 miles = 5 hrs

Distance travelled in 2.5 hrs = 150 miles

What is a Equation of a Proportional Relationship?

A equation of a proportional relationship models the relationship between two variables, x and y, that has a constant of k. It is expressed as y = kx.

Given the following:

Equation: d = 60t

d = distance in miles

t = time in hours

Average rate of speed for the bus = k = 60

Time (t) it would take to go 300 miles (d):

300 = 60(t)

300/60 = t

t = 5 hours

Distance (d) it would travel in 2.5 hours (t):

d = 60(2.5)

d = 150 miles

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19. In June, Cory begins to save money for a video game and a TV he wants to buy in Decembe
He starts with $24. Each month he plans to save 10% more than the previous month. How
much money will he have at the end of December?
O$203.74
O$177.34
O$227.69
O$185.22

Answers

The amount of money that he should have at the closing of December should be $227.69.

The correct answer choice is option C

How to find total savings?

Given that,

Starting amount = $24

And, it plans to save 10% more as compared to the last month.

The amount of money that he should have at the closing of December can be solved using the concept of geometric sequence.

First term, a = $24

Common ratio, r = 1.10

Number of terms, n = 7

So,

Sn = a1×(r^n -1)/(r -1)

S7 = 24×(1.10^7 -1)/(1.10 -1)

= (24×0.948717) / 0.10

= $227.69

The total amount Cory will have saved by the end of December is approximately $227.69

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Answer:

  (c)  $227.69

Step-by-step explanation:

The amounts Cory will be adding to his account comprise a geometric series with first term $24 and each successive term 10% more, or 1.10 times the previous term. The total amount Cory will have saved by the end of December is the sum of 7 terms of the series.

__

sum of geometric series

The sum of ...

  24 +1.10×24 +1.10²×24 +... +1.10⁶×24

is given by the formula ...

  Sn = a1×(r^n -1)/(r -1)

where a1 is the first term (24), and r is the common ratio (1.10).

formula application

For the series representing Cory's deposits, we have ...

  S7 = 24×(1.10^7 -1)/(1.10 -1) = 24×0.948717/0.10 ≈ 227.69

At the end of December, Cory will have about $227.69.

_____

Additional comment

A financial calculator or app can also tell you the value of an annuity with a 10% increase per period.

c) The ratio of boys to girls in a school is 4:5. There are 220 boys in the school. How many students attend the school?​

Answers

Answer:

495

Step-by-step explanation:

The ratio of boys to girls in a school is 4:5. There are 220 boys in the school. How many students attend the school?​

find the number of girls

4 : 5 = 220 : x

x = 5 * 220 : 4

x = 275

sum boys and girls

220 + 275 =

495 (your answer)

check

4 : 5 = 220 : 275

4 : 5 = 4 : 5

the answer is good

Based on the figure, which statement provides enough information to conclude that line ris
perpendicular to line p?
O m/2 = 90°
O m26 = 90°
O m/1+ m26 = 90°
O m/3 + m24 = 90°

Answers

Answer:

m<6 = 90°

Step-by-step explanation:

If lines are perpendicular, the angles form by their intersection measure 90°.

Answer: m<6 = 90°

Based on the figure, correct statement provides enough information to conclude that line r is perpendicular to line p is,

⇒ m ∠6 = 90 degree

We have to given that,

Three lines r, n and p are shown in figure.

Now, We know that,

If a line is perpendicular to another line then it make a right angle in between them.

Hence, By given figure, correct statement provides enough information to conclude that line r is perpendicular to line p is,

⇒ m ∠6 = 90 degree

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what is the of 6 in 46.97

Answers

The 6 is in the ones place

(b) 3√2 x 5√8
i don't know how to solve it​

Answers

Answer:

60

Step-by-step explanation:

using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] = [tex]\sqrt{ab}[/tex]

given

3[tex]\sqrt{2}[/tex] × 5[tex]\sqrt{8}[/tex]

= 3 × 5 × [tex]\sqrt{2}[/tex] × [tex]\sqrt{8}[/tex]

= 15 × [tex]\sqrt{16}[/tex]

= 15 × 4

= 60

raito 6 servings per platter

Answers

Answer: 6:1

Step-by-step explanation:

Compute the average 7 5 10 2 8 4

Answers

6 is the average.

To find the average of a set of numbers, add all of the numbers together and then divide the sum by the number of numbers in the equation:

7 + 5 = 12 + 10 = 22 + 2 = 24 + 8 = 32 + 4 = 36

*Divide by the number of numbers in the equation*

36/6 = 6

Hope this helps :)

Answer:

6 is the average

Step-by-step explanation:

You add all the numbers together

7 + 5 + 10 + 2 + 8 + 4 = 36

and then divide by the amount of numbers

36/6=6

A unicycle wheel makes five rotations. The unicycle travels 37.94 feet. Find the diameter of the wheel in inches. Use 3.14 for pi. Round to the nearest tenth of an inch

Answers

Answer:

Im not completely sure tho

Step-by-step explanation:

3.141529 I think so 3.14

help pls!!1!1!1!1!1!1!1!!1!1!1!1

Answers

boys - high ropes course
girls - white water rafting

hope this helps!!

Answer:

a) high ropes course

b) white water rafting

Step-by-step explanation:

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