Question

What is the equation in slope-intercept form for

the line that passes through the point (8,-3) and
has a y-intercept of -2?
A y=- 8x - 2
B. y = -x-2
c. y = –2x - 32
D. y = -2x - 8

Answer 1

y = -1/8x - 2

Explanation:

y-intercept of -2 means (0,-2)

Given (0,-2) and (8,-3)

Slope m = (y2-y1)/(x2-x1)

m = (-3 - -2)/(8 - 0) = -1/8

Using (8,-3)

y = mx + b

-3 = -1/8(8) + b

-3 = -1 + b

b = -2

then y = -1/8x - 2