- passing through (3,-6), (-6, -3)

Question

asked Sep 25, 2021 149k views

1 Answer

Jim Biancolo · Answer 1 · 2021-09-30T06:49:59+0000

Answer:

y=-(1)/(3)x-5

Explanation:

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

Write the formula for slope:

m=(y_2-y_1)/(x_2-x_1)

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

$m=(-3--6)/(-6-3)\\ m=(3)/(-9)\\m=-(1)/(3)$

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

Substitute the point and slope to get:

y=-(1)/(3)(x-3)+-6

Simplify:

y=-(1)/(3)x+1+-6

y=-(1)/(3)x-5