Question

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

Write an equation in slope - intercept form for this line.

Answer 1

`y = (-3)/(2)x - 14`

Explanation:

(-4 , -8) ; slope = (-3/2)

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

`y - [-8] = (-3)/(2)(x - [-4])\\\\y + 8 = (-3)/(2)(x +4)\\\\y + 8 = (-3)/(2)x +((-3)/(2))*4\\\\y + 8 = (-3)/(2)x - 3 * 2\\\\ y = (-3)/(2)x -6 -8\\\\y = (-3)/(2)x - 14`