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2 years ago

Rewrite the equation in y=mx+b form 6y=-24+18p

Mathematics

1 answer:

Serhud [2]2 years ago

3 0

Answer:

y = -4x+3

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Write the equation of the line passing through the points (-4,-1) and (2,8)

klio [65]

<h3>Explanation:</h3>

Calculate the slope with two given coordinate points by using rise over run.

$m = \frac{y_2 - y_1}{x_2 - x_1}$

Let these points

$\begin{cases}(x_1, y_1) = ( - 4, - 1) \\ (x_2, y_2) = ( 2, 8) \end{cases}$

$m = \frac{8 - ( - 1)}{2 - ( - 4)} \\ m = \frac{8 + 1}{2 + 4} \Longrightarrow \frac{9}{6} \Longrightarrow \frac{3}{2} \\ m = \frac{3}{2}$

Slope-Intercept

$y = mx + b \\ m = slope \\ b = y - intercept$

Substitute the value of m in the equation.

$y = \frac{3}{2} x + b$

Substitute any coordinate points that are given or part of the graph in the equation.

$(x_, y) = ( - 4, - 1)$

$- 1 = \frac{3}{2} ( - 4) + b$

Solve the equation for b-term.

$- 1 = \frac{3}{ \cancel{2}} ( \cancel{ - 4}) + b\\ - 1 = 3( - 2) + b \\ - 1 = - 6 + b \\ - 1 + 6 = b \\ 5 = b$

Rewrite the equation by substituting the value of b in the equation.

$y = \frac{3}{2} x + 5$

<h3>Answer</h3>

$\large \boxed{y = \frac{3}{2} x + 5}$

If you have any questions related to the answer, feel free to ask via comment.

7 0

3 years ago

jaden made a pot of chili with 48 ounces of ground beef and 2 tablespoons of chili powder.he made another pot of chili with the

dexar [7]

Answer:

1/2 pound.

Step-by-step explanation:

Conversions: 48 oz = 3 lb

The ratio in the new pot is 3*2 tbs : 3 pounds , or just 6:3, which simplifies to 2:1. This means for every two tbs of powder, 1 lb of beef is used. This means that for every one tbs, 1/2 lb of beef is used.

8 0

3 years ago

Read 2 more answers

Click on the table(s) of values that represent a function.

GrogVix [38]

Answer:

Data set 1

Step-by-step explanation:

Because for every x there is only one y

6 0

2 years ago

My sister is crazy about Taylor Swift-and I do mean C-R-A-Z-Y. She is constantly buying magazines and tearing out any page that

matrenka [14]

Answer:

178 pages

Step-by-step explanation:

convert feet to inches

9 x 12 = 108

11 x 12 = 132

108 x 132 = 14256

8 x 10 = 80

14256/80 = 178 with a little left over

4 0

3 years ago

Evaluate 2 + 4/5 n for n = 1/4

Sophie [7]

Answer:

$2\frac{1}{5}$

Step-by-step explanation:

4 0

3 years ago