Question

If f ( x ) is a linear function, f ( − 1 ) = − 4 , and f ( 2 ) = 1 , find an equation for f ( x ) in slope-intercept form.

Answer 1

Linear functions are given in the form:
y = mx + n
m slope
n y-intercept

Inserting the given values:
-4 = -1m + n
1 = 2m + n

Solve for m and n.