Linear equation

Question

Find a linear function h, given h(9)=-19 and h(-3)=17. Then find h(6) and h(x)

Answer 1

slope = (17--19)/(-3-9) = 36/-12 = -3

y=-3x + b, solve for b by plugging in either point (9,-19) or (-3,17)

17= -3(-3) + b

b = 17-9 = 8

y=-3x+8 is the linear function or equation where h(9)=-19 and h(-3)=17

y= h(x) =-3x + 8

h(6)= -3(6) + 8 = -18+8 =-10

h(6)=-10