Create a linear equation for the following data:

Ответ:

mir1425

16.03.2022

The equation of the line is:

y=-3x+4

Please check the attached graph.

Step-by-step explanation:

x y

-1 7

2 -2

7 -17

10 -26

Taking two points (-1, 7) and (2, -2) to find the slope

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(-1,\:7\right),\:\left(x_2,\:y_2\right)=\left(2,\:-2\right)$

$m=\frac{-2-7}{2-\left(-1\right)}$

Refine

m=-3

Using the point-slope form of the line equation

$y-y_1=m\left(x-x_1\right)$

where m is the slope of the line and (x₁, y₁) is the point

substituting the values m = -3 and the point (-1, 7)

$y-7=-3\left(x-\left(-1\right)\right)$

$y-7=-3\left(x+1\right)$

Add 7 to both sides

$y-7+7=-3\left(x+1\right)+7$

Simplify

y=-3x+4

Therefore, the equation of the line is:

y=-3x+4

Please check the attached graph.

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