. Write a function p(x) that P(-1) = 6 and p(3) = -2
we have the ordered pairs
(-1,6) and (3,-2)
step 1
Find the slope
m=(-2-6)/(3+1)
m=-8/4
m=-2
step 2
find the equation of the line in point slope form
y-y1=m(x-x1)
we have
m=-2
(x1,y1)=3,-2)
substitute
y+2=-2(x-3)
y+2=-2x+6
y=-2x+4
therefore
P(X)=-2x+4
Verify
For x=-1
P(-1)=-2(-1)+4=6 -----> is ok
P(3)=-2(3)+4=-2 ----> is ok