Question

Find the value of p so that the linear function f(x) with f(p) = 3 and f(-2) = 0 has a slope of 3.

Answer 1

When it has a slope of 3 it means y=3x+k
Given the condition that f(-2)=0
So,replace the y with 0 and x with -2
0=3*-2+k
0=-6+k
k=6
So the line is y=3x+6
when f(p)=3,
3x+6=3
3x=-3
X=-1
So,
p=-1