a line passes through the points (-3, 8) and (2, -2). write its equation in slope - intercept form. write…

a line passes through the points (-3, 8) and (2, -2). write its equation in slope - intercept form. write your answer using integers, proper fractions, and improper fractions in simplest form.

a line passes through the points (-3, 8) and (2, -2). write its equation in slope - intercept form. write your answer using integers, proper fractions, and improper fractions in simplest form.

Answer

Explanation:

Step1: Calculate the slope

The slope $m$ formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Let $(x_1,y_1)=(-3,8)$ and $(x_2,y_2)=(2,-2)$. Then $m=\frac{-2 - 8}{2-(-3)}=\frac{-10}{5}=- 2$.

Step2: Find the y - intercept

Use the point - slope form $y - y_1=m(x - x_1)$ and then convert to slope - intercept form $y=mx + b$. Using the point $(2,-2)$ and $m=-2$, we have $y-(-2)=-2(x - 2)$. Expand: $y + 2=-2x+4$. Solve for $y$: $y=-2x + 2$.

Answer:

$y=-2x + 2$