a line passes through the points (-8, 9) and (-2, -9). write its equation in slope - intercept form. write…

a line passes through the points (-8, 9) and (-2, -9). 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 (-8, 9) and (-2, -9). 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 $(x_1,y_1)=(-8,9)$ and $(x_2,y_2)=(-2,-9)$. Then $m=\frac{-9 - 9}{-2-(-8)}=\frac{-18}{6}=- 3$.

Step2: Find the y - intercept

Use the point - slope form $y - y_1=m(x - x_1)$ with the point $(-8,9)$ and $m=-3$. So $y - 9=-3(x + 8)$. Expand it: $y-9=-3x-24$. Add 9 to both sides to get it in slope - intercept form $y=mx + b$. Then $y=-3x-15$.

Answer:

$y=-3x - 15$