How to calculate slope for a line that goes through
two points.
10.2: Practice
y
Find the slope of the line through these points. Try
making a table.
-3
6
(5.-3) and (-1.6)

Answers

Answer 1

Answer:

The slope is [tex]m=-\frac{3}{2}[/tex]

Step-by-step explanation:

The slope point equation is given by:

[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Here:

The first point is (x1,y1)=(5,-3)

The first point is (x2,y2)=(-1,6)

Then, the slope will be:

[tex]m=\frac{6-(-3)}{-1-5}[/tex]

[tex]m=\frac{9}{-6}[/tex]

[tex]m=-\frac{3}{2}[/tex]

 

I hope it helps you!


Related Questions

Rena has posters that measure 8 inches wide by 10 inches tall. If she uses a poster maker which creates similar posters, what is the area of the poster if the height of the poster is 35 inches?

Answers

Answer:

B . 980 just trust me

Step-by-step explanation:

You set up proportions

Argyle sells computers. He keeps one
eighth of his sales as a commission.
How much must he sell to earn $500?

Answers

Answer:

Note: I'm assuming that he keeps 1/8 of the money spent for himself.

If this is what the question was asking, then the answer would be:

Argyle must sell $4,000 worth of computers.

Step-by-step explanation:

First, we write an equation.

1/8n = $500

Note: n is the variable I'm using to represent the amount of money Argyle must sell to get $500 as commission.

Then, to get the value of n and to get rid of the fraction, we multiply both sides by 8:

1/8n * 8 = $500 * 8

= n = $4000

Therefore, Argyle must sell $4,000 worth of computers to keep 1/8 ($500) as commission.

Find the value of x in the isosceles triangle 40inches x 25 inches

Answers

Answer:

l

Step-by-step explanation:

if you roll a six sided die ten times, whats P(x>3)

Answers

Answer:

1 Binomcdf (10,1/6,3)

Step-by-step explanation:

an equation of a line that passes through the point (15,2) and is perpendicular to the line -10x+8y = 3?

Answers

Answer:

        y = -⁴/₅x + 14

Step-by-step explanation:

Changing to slope-intercept form:

-10x + 8y = 3         {add 10x to both sides}

8y = 10x + 3         {divide both sides by 8}

y = ⁵/₄x + ³/₈

Two lines are perpendicular if the product of their slopes is equal -1:

y=m₁x+b₁   ⊥   y=m₂x+b₂   ⇔    m₁×m₂ = -1

y = ⁵/₄x + ³/₈   ⇒   m₁=⁵/₄

⁵/₄×m₂ = -1        ⇒    m₂ = -⁴/₅

 

The line y=-⁴/₅x+b passes through point (15, 2) so the equation:

2 = -⁴/₅×15 + b must be true

2 = -12 + b

b = 14

Therefore equation in  slope-intercept form:

                                                     y = -⁴/₅x + 14

You want to cook some desserts for your 10 friends within 2 hours. It will take you 15 minutes to make a waffle and 5 minutes to make a chocolate cookie. Write a system of inequalities to express this situation. What is the most possible number of waffles you can make and still meet the requirements ? waffles

Answers

Answer: 7 waffles

Step-by-step explanation: trust me pls. you have a total of 120 minutes. 7 waffles takes you 105 minutes, and the remaining 15 minutes can be spent on 3 cookies.

The perimeter of a rectangle is 70cm. if its length is decreased by 5cm and its width is increased by 5cm, its area will increase by 50 cm^2. Find the length and the width of the original rectangle.

Answers

Answer:

l=25, w=10

Step-by-step explanation:

2(25)+2(10)=70

25*10=250

25-5=20

10+5=15

20*15=300

Answer:

width = 10

lenghth = 25

Step-by-step explanation:

Suppose y varies directly as x, and y=26 when x=8. Find x when y=65.

Answers

Answer:

when y=65, x=20

Step-by-step explanation:

We are given:

y varies directly as x

and y=26, when x=8

We need to find x, when y = 65

y varies directly as x can be written as:

[tex]y\:\alpha \:x\\y=kx[/tex]

Where k is constant of proportionality.

Finding k, when y=26 and x=8

[tex]y=kx\\26=k(8)\\k=\frac{26}{8}\\k=3.25[/tex]

We get the value of k = 3.25

Now, we need to find value of x, when y=65 and k=3.25

[tex]y=kx\\65=3.25(x)\\x=\frac{65}{3.25}\\x=20[/tex]

So, when y=65, x=20

Is 2x + 3 + 7x equivalent to the expression 3(3x + 1) ?

Answers

Answer:

Yes

Step-by-step explanation:

3(3x+1) = 9x+3

2x+3+7x = 9x+3

is this correct? plz answer only if you know for sure.

Answers

Answer:

2x+3x=150 ( sum of opposite interior angle of triangle is equal to the exterior angle)

5x=150

x=150/5

x=30

The scale on a road map indicates that 2 inches = 30 miles. How many inches would represent 120 miles on this road map?

Answers

Answer:

8 inches = 120 miles

Step-by-step explanation:

If 2 inches is equivalent to 30 miles, then divide 120 by 30 then times the answer by two.

120 / 30 = 4

4 x 2 = 8

8 inches = 120 miles

To check;

30 x 4 = 120

8 / 2 = 4

Hope this helps!!!

Answer:

The answer is 8in.

Step-by-step explanation:

Calculated 120/30

Use a number line to order the numbers from least to greatest.

HELLLPPPP!!!!!

Answers

So the smallest is 8/25 because it’s .32 so put it on 0.32. Then 38% because it u divide 38 by 100, you get .38 so put it between .46 and .4. And the last one is 0.41. You put it next to 0.4

HELLPPP

2. If the temperature is given by the equation y= 5x + 50, how would you describe what is
happening to the temperature?

Answers

Answer:

Step-by-step explanation:

The temperature starts at 50 and increases because the slope is positive.

The function g(x) is a translation of f(x) = (x + 3)2 – 10. The axis of symmetry of g(x) is 5 units to the right of f(x) . Which function could be g(x)?

Answers

Answer:

There are two possible solutions for [tex]g(x)[/tex]:

[tex]g(x) = (x+3)^{2}-5[/tex]

[tex]g(x) = x^{2}-3\cdot x +4[/tex]

Step-by-step explanation:

From statement, we understand that [tex]g(x)[/tex] is defined by the following operation:

[tex]g(x) = f(x) +5[/tex] (1)

If we know that [tex]f(x) = (x+3)^{2}-10[/tex], then [tex]g(x)[/tex] is defined by:

[tex]g(x) = (x+3)^{2}-10+5[/tex]

[tex]g(x) = (x+3)^{2}-5[/tex]

[tex]g(x) = x^{2}-3\cdot x + 9 -5[/tex]

[tex]g(x) = x^{2}-3\cdot x +4[/tex]

Answer:

There are two possible solutions

Step-by-step explanation:

Solving systems of equation using elimination
1)2x+2y = 8
x – 2y = 4

2)x+y=8
x-y=4

3)2x+2y=4
x-y=4

4)2x+2y=4
x-y=4

5)x+2y=8
x+3y=4


I need the answer for each problem. Please help is due in 30 minutes!

Answers

Answer:

2x+2y = 8

x – 2y = 4

3x=12

x=12/3=4

x=4

2x+2y=8

2(4) + 2y = 8

8+2y = 8

2y=8-8

2y=0

y=0/2=0

2(4)+2(0)=8

8+0=8

x+y=8

x-y=4

2x=12

x=12/2=6

6+y=8

y=8-6=2

6+2=8

2x+2y=4

x-y=4

2x+2y=4

2(x-y=4)

2x+2y=4

2x-2y=8

4x=12

x=12/4=3

2(3)+2y=4

6+2y=4

2y=4-6

2y=-2

y=-2/2=-1

2(3)+2(-1)=4

6+-2=4

x+2y=8

-(x+3y=4)

x+2y=8

-x-3y=-4

-1y=4

y=4/-1=-4

x+2(-4)=8

x+-8=8

x=8+8=16

A route from point A to point B. 1 inch on the map equals 25 miles.

Manuel is leaving Boston to go on a hike at Mt. Monadnock, in New Hampshire. He mapped out a route with the map scale of 1 in. = 25 mi and found the total distance on the map to be about 3.2 inches. What is the actual distance Manuel will travel?

Answers

Question:

A route from point A to point B. 1 inch on the map equals 25 miles.

Manuel is leaving Boston to go on a hike at Mt. Monadnock, in New Hampshire. He mapped out a route with the map scale of 1 in. = 25 mi and found the total distance on the map to be about 3.2 inches. What is the actual distance Manuel will travel?

Answer:

Point A to point B - 1 inch on the map = 25 miles - 80 Miles

Step-by-step explanation:

Answer:

80

Step-by-step explanation:

got it right

7 lbs of dog food cost $6.30. What is the unit price? 20 points-

Answers

Answer: 9 cents

Step-by-step explanation: 6.30 divided by 7 is 0.9

What is the image point of (−2,5) after a translation left 5 units and up 3 units?

Answers

Answer:

(-7,8)

Step-by-step explanation:

The given point (x,y)=(-2,5)

Assuming that right and up directions are positive, so left and down directions are negative.

So, after a translation left 5 units and up 3 units, the image point = (x-5, y+3)

=(-2-5, 5+3)= (-7,8)

Hence, the image point is (-7,8).

Acela Express, the fastest train between Washington D.C and Boston covers a distance of 455 miles in 7 hours. How many miles will the train travel in 4 hours?

Answers

Answer:

260 miles

Step-by-step explanation:

Given that:

Distance covered in 7 hours = 455 miles

Number of miles train will travel in 4 hours

Average travel speed per hour :

Distance traveled / time taken

455 miles / 7 hours

= 65 miles per hour

Number of miles traveled in 4 hours :

Average Speed per hour * time

(65 * 4) = 260 miles

A submarine rises to the ocean's surface at 720 feet in 6 minutes. Find the points submarine's change in elevation per minute.

Answers

Answer:

The submarine gains 120 feet of elevation per minute.

Step-by-step explanation:

Given ABCD what is the value of y? ​

Answers

Answer:

x=7

y=5

Step-by-step explanation:

quadrilaterals have 360 degrees, and their opposite angles are equal

15x+5=16x-2

7=x

(plug back in to find angle)

15(7)+5=110

that angle, plus opposite angle, equals 110.

360-220=140

140/2=70

now we know the value of other unsolved angle

70=12y+10

60=12y

5=y

Please help 16 points due tomorrow

Answers

Answer:

1) 26.1% increase

2) 20% decrease

Work:

1)

-subtract the larger # from the smaller # to figure out what the change was.

[tex]8.8 - 6.5 = 2.3[/tex]

-divide 2.3 by the orriginal ammount (8.8) to find your answer as a decimal

[tex]2.3 \div 8.8 = 0.261[/tex]

-take 0.261 and multiply it by 100 to have your answer as a percent

[tex]0.2614 \times 100 = 26.1[/tex]

-if the original number increased than it is percent increase and if the original number decreased than it is percent decrease

2)

-subtract the larger # from the smaller # to figure out what the change was.

[tex]15 - 12 = 3[/tex]

-divide 2.3 by the orriginal ammount (15) to find your answer as a decimal

[tex]3 \div 15 = 0.2[/tex]

-take 0.2 and multiply it by 100 to have your answer as a percent

[tex]0.2 \times 100 = 20[/tex]

-if the original number increased than it is percent increase and if the original number decreased than it is percent decrease

If f(x) = 2x, which of the following shows the graph of f(x) = 2(x) + 2?

Answers

Answer: the first graph

Step-by-step explanation:

The intersection of the graph of the function with the y-axis gives the y-intercept of that function. The correct option is A.

What is the y-intercept of a function?

The intersection of the graph of the function with the y-axis gives the y-intercept of that function. The y-intercept is the value of y on the y-axis at which the considered function intersects it.

Assume that we've got: y = f(x)

At the y-axis, we've got x = 0, so putting it will give us the y-intercept.

Thus, y-intercept of y = f(x) is y = f(0)

Given f(x)=2, therefore, the graph will have a y-intercept as 0.

But when the value of f(x) = 2(x) + 2, then the graph of the function will have the y-intercept at 2.

Hence, the correct option is A.

Learn more about Y-intercept:

https://brainly.com/question/16540065

#SPJ2

The local lighting company found that 2 out of every 10 lightbulbs was defective. If
there are a total of 120 bulbs in a box, how many can they predict will be defective?

Answers

Answer:

24

Step-by-step explanation:

2/10

120 ÷ 10 = 12

2 x 12 = 24

10 x 12 = 120

24/120

Answer:

24

Step-by-step explanation:

120 % 10  = 12

2 x 12 = 24

Mr. Foote needs exactly 6 folders for each fourth-grade student at Hoover Elementary School. If he bought 726 folders, to how many students can he supply folders? PLEASE HELP I HAVE 5 MINUTES TO ANSWER

Answers

Answer:

60try to get it done before the end of this week

A butcher has 3 1 3 pounds of ground beef that will be priced at $1.35 per pound. He divides the meat into 8 equal packages. To the nearest cent, the price of each package is $ .

Answers

Answer:

$0.56

Step-by-step explanation:

Cost of 3 1/3 pounds of beef at $1.35 per pound

= 3 1/3 × 1.35

= 10/3 × 1.35

= $4.5

He divides the meat into 8 equal packages. To the nearest cent, the price of each package is $

= $4.5 / 8

= $0.5625

Approximately $0.56 to the nearest cent

Factor as the product of two binomials

36+12x+x^2

Answers

Answer:(x+6) (x+6)

(x+6)^2

Step-by-step explanation:

36+12x+x^2

x^2 +12x +36

What 2 numbers multiply to 36 and add to 12

6*6 = 36

6+6 =12

(x+6) (x+6)

(x+6)^2

Khan said so:

(6+x) (6-x)

Can someone help me with this I tried everything

Answers

Answer:

x < 11

Step-by-step explanation:

2x - 22  =   2 • (x - 11) 

Divide both sides by  2 

Add  11  to both sides

so your answer is

 x < 11


Which number line shows the solution of 4x - 36 <-12?

Answers

B is your answer plz mark brainlyest

Answer: Other guy is right.

Step-by-step explanation:

what is the slope of the line y=2x+5?​

Answers

Answer:

The slope is 2

Explanation:

The equation is written in y=mx+b
M would always be the slope and b the y intercept

Hope this helps!!

Answer:

2

Step-by-step explanation:

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