Linear function

Question

Find a linear function h, given h(9)= -13 and h(-3) = 11. Then find h(1).

h(x) =

h(1)=

Answer 1

(9,-13) and (-3,11) are the points on the line

the slope is M = (11 - -13)/(-3 - 9) = (11 + 13)/(-3 + -9) = 24/-12 = -2

B = y - mx = 11 - (-2)(-3) = 11 - 6 = 5

y = -2x+5

so when x=1 , y = 3