Find a linear function​ f(x)= ? f(x) with slope - 8 such that ​f(- 9​)=5

Question

Find a linear function​ f(x) with slope - 8 such that ​f(- 9​)=5

F(x)=

Answer 1

We are given a slope and one point, so

$f(x)=mx+b$ where m=slope and b=y-intercept

$5=-8(-9)+b$

$b=-67$

$f(x)=-8x-67$