Question

Which equation represents the line that passes through (-8,11) and (4,7/2)?

Answer 1

y = -5/8x +6

Explanation:

First we need to find the slope

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

= (7/2 -11)/(4--8)

= (7/2 - 22/2)/(4+8)

= (-15/2)/(12)

= -15/24

Divide top and bottom by 3

-5/8

Then we can use point slope form to write the equation

y-y1 = m (x-x1)

y- 11 =-5/8(x--8)

y- 11 =-5/8(x+8)

Distribute

y-11 =-5/8 x -5

Add 11 to each side

y-11 = -5/8x -5+11

y = -5/8x +6