write the equation of the line that passes through the points (-3,4) and (-4,2). Write the final answer in slope intecept form

Answers

Answer 1

Answer:

The equation in the slope-intercept form will be:

[tex]y=2x+10[/tex]

Step-by-step explanation:

Given the points

(-3, 4)(-4, 2)

Finding the slope between two points

[tex]\left(x_1,\:y_1\right)=\left(-3,\:4\right),\:\left(x_2,\:y_2\right)=\left(-4,\:2\right)[/tex]

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\frac{2-4}{-4-\left(-3\right)}[/tex]

[tex]m=2[/tex]

As the point-slope form  of the line equation is

[tex]y-y_1=m\left(x-x_1\right)[/tex]

putting the values m=2 and the point (-3, 4)

[tex]y-4=2\left(x-\left(-3\right)\right)[/tex]

[tex]y-4=2\left(x+3\right)[/tex]

Writing the equation in slope-intercept form

[tex]y=mx+b[/tex]

where m is the slope, and b is the y-intercept

so the equation becomes

[tex]y-4=2\left(x+3\right)[/tex]

add 4 to both sides

[tex]y-4+4=2\left(x+3\right)+4[/tex]

[tex]y=2x+10[/tex]

Therefore, the equation in the slope-intercept form will be:

[tex]y=2x+10[/tex]


Related Questions

is 2 a solution of 4x +12=4?

Answers

Answer:

no

Step-by-step explanation:

4x +12 = 4

4(2) +12 =/= 4

8 +12 =/= 4

8 +12 = 20

(sorry if it doesn't make sense,I tried)

Answer:

Step-by-step explanation:

What is the hexadecimal equivalent of the decimal number 241?

Answers

Answer:

241 = f1

    10   16

Step-by-step explanation:

241 Decimal To Hexadecimal Conversion:

step 1 Perform the successive MOD 16 for the given decimal number 241 and note down the remainder for each operation. The last remainder is the MSB (most significant bit) and the first remainder is the LSB (least significant bit).

241 / 16 = 15   : Remainder is 1 → LSB

15 / 16 = 0   : Remainder is 15 → MSB

step 2 Write the remainders from MSB to LSB provide the equivalent hex number

f1

241 = f1

    10   16

Decimal

241

Hex

F1

Binary

11110001

URGENT PLEASE HELP I AM GIVING AWAY MANY POINTS I HAVE ATTACHED THE QUESTION

Answers

Answer:

a) x=0, x=1

b)x=0, x=4/3

Step-by-step explanation:

I didnt use the graph, just used algebra. For part a, you can find the answers using the graph by looking at the value of x when y = whatever value they give.

A)

3x²-3x+2=2

3x²-3x+0

x(3x-3)=0

For the product of two things to equal zero, one of them has to be zero. For example, if ab=0, then either a or b (or both) are zero.

Therefore..

x=0

or 3x-3=0, ∴x=1

b)

3x²-3x-1 = x-1

3x²-4x=0

x(3x-4)=0

∴x=0, x=4/3

Answer:

I checked it over twice the first guy is correct make him brainliest

Step-by-step explanation:

evaluate 8.3s + 7.5t when s=3 and t=4



plz help

Answers

8.3(3) = 24.9
7.5(4)= 30
24.9+30= 54.9
The answer is 54.9 I am sure it is

Given the figure below, find the values of x and z.
x =
(13x + 30)
z =
(12x + 50)

Answers

Answer:

x = 4

z = 92°

Step-by-step explanation:

From the picture attached,

Two straight lines are intersecting each other at a point so that,

(12x + 50)° + (13x + 30)° = 180° [Linear pair of angles]

25x + 80 = 180

25x = 100

x = 4

Therefore, measure of (13x + 40)° = 13×4 + 40

                                                        = 52 + 40

                                                        = 92°

Since, z° = (13x + 40)° [Vertically opposite angles]

Therefore, z° = 92°

Find the median of 64,65,67,75,80,85,90,90

Answers

Answer:

75

Step-by-step explanation:

Median means the middle number in a sequence.

The Awnser nser is 75

Which graph represents points on the polar curve r = 2 + 5sin(θ)?

Answers

Answer:

Graph 2

Step-by-step explanation:

See image attached. Hope this helps.

The second graph shown the polar curve at r = 7.

Given ,

Equation of polar curve = r = 2 + 5sin(θ)

We have to find ,

Which of following graph show polar curve ,

At  r = 2 + 5sin(θ)

The area between two curves in the polar coordinate system, first find the points of intersection, then subtract the corresponding areas.

First graph ;  r = 2 + 5sin(θ)

Where ,

[tex]\theta = 0[/tex]

r = 2 + 5sin0

r = 2 + 5 (0)

r = 2

Second graph : r = 2 + 5sin(θ)

Where

[tex]\theta = \frac{\pi }{2}[/tex]

Then,

r = 2 + sin[tex]\frac{\pi }{2}[/tex]

r = 2 +5 ( 1 )

r = 2+5

r = 7

Third graph ;  r = 2 + 5sin(θ)

where

[tex]\theta = \pi[/tex]

Then,

r = 2 + 5sin[tex]\pi[/tex]

r = 2 + 5(0)

r = 2

Fourth graph ; r = 2 + 5sin(θ)

Where

r = 2 + 5sin[tex]\frac{3\pi }{2}[/tex]

r = 2 + 5 (-1)

r = -3

Fifth graph ; r = 2 + 5sin(θ)

Where

[tex]\theta = 2\pi[/tex]

r = 2 + 5sin(2π)

r = 2+ 5 (0)

r = 2

Comparing all the value of the graph ,the second graph shown the polar curve at r = 7.

Hence, The second graph shown the polar curve at r = 7.

For more information about Polar curves click the link given below.

https://brainly.com/question/1094340

factorise [tex]x^{2}[/tex] - 9

Answers

Answer:

a1= 1   q= −sinx  , dla |q| <1   , ta suma jest zbieżna  

 a1   1  

S=  

=  

 1 −q   1+sinx  

w mianowniku podobnie:   a1=1  ,  q= sinx  , dla  | sinx| <1

 1  

S=  

 1 −sinx  

i mamy równanie:

 

1  

1+sinx  

 

 

= tg2x

 

1  

1− sinx  

 

Step-by-step explanation:

10.An object of mass 300 kg is observed to accelerate at the rate of 4 m/s2. Calculate the force required to produce this
acceleration
PLLLLSSSSS HHHHHEEEELLLLPPPP

Answers

Answer:

F=Ma

Step-by-step explanation:

force= 300x4

force= 1200N

The Force required to move a mass of 300 kg is 1200 N

What is force?

In Physics, force is defined as The push or pull on an object with mass that causes it to change its velocity. Force is an external agent capable of changing a body's state of rest or motion. It has a magnitude and a direction.

Given here, the mass (M) = 300 kg and acceleration = 4 m/s²

Therefore force required to move a body of mass 300 kg is

F=300×4

 = 1200N

Hence, the for required to produce this acceleration is 1200N

Learn more about force here:

https://brainly.com/question/13191643

#SPJ2

Please help me it’s due today at 3:00pm will mark brainiest please help me please

Answers

Answer: 83

Step-by-step explanation:

(88+92+87+x)/4 = 90

(277+x)/4 = 90

x+ 277 = 360

x = 83

88+92+87+93 = 360 / 4 = 90

You'll probably need to get 93 on your fourth grade

A storage company must design a large rectangular container with a square base. The volume is 6750ft3. The material for the top costs $12 per square foot, the material for the sides costs $5 per square foot, and the material for the bottom costs $8 per square foot. Find the dimensions of the container that will minimize the total cost of material.

Answers

Ответ 163.54
Ниже расписано описание

the zoo has 30 animals all of them are lions or monkeys. There is a ratio of 3 lions to 7 monkeys. How many monkeys are there?

Answers

Answer:

21 monkeys

Work:

The ratio is 3:7 so 3*3=9 lions 7*3=21 monkeys

9+21=30

if a ship travels west for 15 miles and south for 13 miles to the nearest tenth approximately how far away is it from its starting point

Answers

Answer:

23

Step-by-step explanation:

Suppose the line of best fit is drawn for some data points. If the mean of the
x-coordinates of the points is 5, and the mean of the y-coordinates of the
points is - 7 the line must pass through which of these points?
A. (-7,5)
B. (7-5)
C. (5, -7)
D. (-5,7)

Answers

the correct answer must be option C, which has the coordinates (5, -7), matching the centroid of the data points. Thus, the line of best fit passes through the point (5, -7).

How to find the coordinates?

To determine which point the line of best fit passes through, we need to use the fact that the line passes through the centroid of the data points. The centroid is the point (mean of x-coordinates, mean of y-coordinates).

Given that the mean of the x-coordinates is 5 and the mean of the y-coordinates is -7, the centroid is (5, -7). Therefore, we need to look for the point among the given options that has coordinates (5, -7).

The point (5, -7) is not listed as an option, but we can find the point that is closest to it.

Option A (-7,5) has the coordinates switched, so it cannot be the correct answer. Option B (7-5) is not a valid point since it is missing a comma between the x and y coordinates. Option D (-5,7) has the correct x-coordinate but the wrong y-coordinate.

Therefore, the correct answer must be option C, which has the coordinates (5, -7), matching the centroid of the data points. Thus, the line of best fit passes through the point (5, -7).

To know more about coordinates visit :-

https://brainly.com/question/17206319

#SPJ1

I need help in number 2 ASAP please

Answers

Answer:

Step-by-step explanation:

angle A + angle B + angle C = 180° [Sum of all angles of a triangle is 180°]

=> 2x+1 + x+15 + x = 180°

=> 4x + 16 = 180°

=> 4x = 180° - 16°

=> 4x = 164°

=> x = ([tex]\frac{164}{4}[/tex])°

=> x = 41°

[tex]\\[/tex]

angle A = 2x+1 = 2×41 +1 = 82 + 1

=> 83°

angle B = x+15 = 41+15

=> 56°

angle C = x

=> 41°

[tex]\\\\\\[/tex]

HOPE IT HELPS

PLEASE MARK ME BRAINLIEST ✿(◕ᴗ◕)✿

8minus 2n +3p has how many terms

Answers

Answer:

It has two terms.

Step-by-step explanation:

The sequence below follows the Fibonacci rule.
Calculate the next term.
8, 13, 21, 34, 55 *

Answers

Answer:

89

Step-by-step explanation:

8, 13,

8+13= 21

13+21 =34

21+34=55

34+55=89

It cost 21 dollars to sent 3 packages. how much does it cost to send 1 package?

Answers

Answer:

7

Step-by-step explanation:

21/3=7

Answer:

7 dollars/$7

Step-by-step explanation:

21 divided by 3 = 7

$7 to send 1 package.

evaluate 6a+4 when a=12

Answers

The answer is 76.........

Answer:

Answer is 76

Step-by-step explanation:

6a+4       a=12

insert the value of "a" into equation

=6(12)+4

=72+4

=76

Find the area of a compound shape

Can you please explain

Answers

Answer: right there

Step-by-step explanation:

Find area of semi circle, and then rectangle.(rectangle is 20x14). 20xdiameter.

Round 258,177 to the nearest hundred thousand.

Answers

Answer:

It's 300,000

Step-by-step explanation:

if you round (25)0,000 off you get 300000, so you don't have to worry about the other digits too much

What is the simplified value of the expression below?

12.4 x (negative 6.3)

Answers are below this
–78.12
–1.97
1.97
78.12

Answers

Answer:

-78.12

Step-by-step explanation:

a 12.4x-6.3= -78.12

mark as brainlyliest

Answer:

-78.12

Step-by-step explanation:

Find the area of the Compound shape

The answer is 45 m^2

I just need the steps....

Answers

Answer:

45 cm^2

Step-by-step explanation:

Dividing the shape into the two separate components of a square and a triangle makes it easier.

The square area is found by multiplying the side by the side, 6cm*6cm which gives us 36cm^2.

Then the triangle the height is 3cm and the base is 6cm. Using the formula 1/2*base*height.

Which would be 1/2*6*3=9cm^2.

Adding the two, 9+36= 45cm^2.

What are trinomials........

Answers

In elementary algebra, a trinomial is a polynomial consisting of three terms or monomials

hope this helped <3

point P lies on the origin of a coordinate system. if you translate the point 5 units up, then 4 units left, then 4 units down, the result is point P. what are the coordinates of point P

Answers

Answer:

The coordinates of point P after all the translations become: (-4, 1)

Step-by-step explanation:

The point P lies on the origin of a coordinate system.

i.e. P(0, 0)

Translating point 5 units up will translate the coordinates from (0, 0) to :

(x, y) → (x, y+5)

(0, 0) → (0, 0+5) = (0, 5)

THEN

Translating point 4 units left will translate the coordinates from (0, 5) to :

(x, y) → (x-4, y)

(0, 5) → (0-4, 5) = (-4, 5)

THEN FINALLY

Translating point 4 units down will translate the coordinates from (-4, 5) to :

(x, y) → (x, y-4)

(-4, 5) → (-4, 5-4) = (-4, 1)

Therefore, the coordinates of point P(0, 0) after translating point 5 units up, then 4 units left, then 4 units down will be:

(x, y)      →     (x, y+5)     →     (x-4, y+5)     →     (x-4, y+5-4)

(0, 0)     →      (0, 0+5)    →     (0-4, 0+5)   →     (0-4, 0+5-4)  = (-4, 1)

Hence, the coordinates of point P after all the translations become: (-4, 1)

How many terms are in the expression
2k+15-m-3+n-7p = ?
HELP ME PLEASE

Answers

Answer:

5

Step-by-step explanation:

once you combine like terms you get 5 terms

(3x+28) + (5x+8y) (12x-28)

Answers

I believe the simplified answer is

96xy+60x^2−224y−137x+28

If you want to type up this problem go to M a t h w a y to help you.

I hope that this is correct and that this is the answer you were looking for. :)
Have a great day!

Suppose a test of significance desires to see if there is a difference in mean SSHA scores between men and women. Which is the appropriate alternative hypothesis?

a. The population mean for women equals the population mean for men.
b. The population mean for women does not equal the population mean for men.
c. The population mean for women is greater than the population mean for men.
d. The population mean for women is less than the population mean for men.

Answers

Answer:

The correct option is b.

Step-by-step explanation:

A null hypothesis is a sort of hypothesis used in statistics that intends that no statistical significance exists in a set of given observations.  

It is a hypothesis of no difference.

It is typically the hypothesis a scientist or experimenter will attempt to refute or discard. It is denoted by H₀.

For instance, H₀: µ = µ₀, where µ₀ is some null value or some claimed value.

Whereas, the alternate hypothesis is the contradicting statement to the null hypothesis.

The alternate hypothesis describes direction of the hypothesis test, i.e. if the test is left tailed, right tailed or two tailed.

It is also known as the research hypothesis and is denoted by Hₐ.

The research statement is:

"If there is a difference in mean SSHA scores between men and women."

Then the appropriate alternative hypothesis will be:

Hₐ: The population mean for women does not equal the population mean for men, i.e. μ₁ ≠ μ

The correct option is b.

Fomular for finding perimeter area and circumference of a circle

Answers

Answer:

perimeter of a circle=2πR

The perimeter of a circle is the circumference of the circle.

CIRCUMFERENCE

There are two formulas:

1. C = πd (use if the problem gives you the diameter only)

2. C = 2πr (use if the problem gives you the radius only)

AREA

There are several area formulas for a circle but I think for you at your level of math, A = πr^2 is all you need to know.

The seventh grade students are having an end-of-year party in the schoal
cafeteria. There are 754 students attending the party. Each table seats 6 students.
How many tables are needed to seat all of the students?

Answers

the answer is 125.6 because all you have to do is dived.
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