Question

find a linear function h given h(-3)=3 and h(0)=2. then find h(-6)

Answer 1

since h(-3)=3 then the line passes throught the point (-3,3) and by the same reasoning the line passes thought (0,2) too, then the slope of the line is

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

then the line equation is

$h=-\frac{1}{3}x+2$

then h(-6)=4 because:

$h(-6)=-\frac{1}{3}(-6)+2=4$