If f ( x ) is a linear function, f ( − 5 ) = 3 , and f ( 2 ) = − 3 , find an equation for f ( x )

Question

If  is a linear function, , and , find an equation for 

Answer 1

You have 2 points (-5,3) and (2,-3). A line through them has slope (-3-3)/(2+5) = -6/7

Now use the point slope formula to get

y-3 = (-6/7)(x+5)

if you want expand and simplify

multiply by 7 to get

7y-21 = -6x -30

6x + 7y = -9