Question

A line passes through the point (-9,8) and has a slope of

-4/3
Write an equation in slope-intercept form for this line.

Answer 1

y = -4/3x - 4

Explanation:

Given

(x1,y1) = (-9,8)

slope, m = -4/3

Required

Determine the line equation

The equation is of the form

y - y1 = m(x - x1)

Substitute values for y1, x1 and m

y - 8 = -4/3(x - (-9))

y - 8 = -4/3(x + 9)

y - 8 = -4/3x - 12

y = -4/3x - 12 + 8

y = -4/3x - 4