Question for College Algebra Homework

Question

find a linear function h, given h(8)=-8 and h(-4)=16. Then find h(9)

Answer 1

(8,-8) and (-4,16) are 2 points on the line

slope = 24/-12 = -2

y=-2x + b, plug in either point to get b

-8 = -16 + b

b =8

y =-2x + 8

h(9) = y = -2(9) + 8 = -18 + 8 = -10

h(9) = -10