Question

A line passes through the point (-4 , -8) and has a slope of -3/2.

Answer 1

Answer:

$y = \frac{-3}{2}x - 14$

Step-by-step explanation:

(-4 , -8)  ;  slope = (-3/2)

Equation of the line: y - y₁ = m( x- x₁)

$y - [-8] = \frac{-3}{2}(x - [-4])\\\\y + 8 = \frac{-3}{2}(x +4)\\\\y + 8 = \frac{-3}{2}x +(\frac{-3}{2})*4\\\\y + 8 = \frac{-3}{2}x - 3 * 2\\\\ y = \frac{-3}{2}x -6 -8\\\\y = \frac{-3}{2}x - 14$