Question

- passing through (3,-6), (-6, -3)​

Answer 1

Answer:

$y=-\frac{1}{3}x-5$

Step-by-step explanation:

We want to find the equation of the line passing through (3,-6), (-6, -3)​.

Write the formula for slope:

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

Substitute $(x_1=3,y_1=-6),(x-2=-6,y_2=-3)$

$m=\frac{-3--6}{-6-3}\\ m=\frac{3}{-9}\\m=-\frac{1}{3}$

Use the formula $y=m(x-x_1)+y_1$ to find the equation.

Substitute the point and slope to get:

$y=-\frac{1}{3}(x-3)+-6$

Simplify:

$y=-\frac{1}{3}x+1+-6$

$y=-\frac{1}{3}x-5$