Write the function represented by the table as an equation

x. y.
-2. 7
3. 27
5. 35

2 answers

Find the slopes between points:
(27-7)/(3+2) = 4
(35-27)/(5-3) = 4
So, start with y = 4x
That doesn't quite fit, so find what you have to add to each 4x value to bring it into line.
(-2, 7), (3, 27), (5, 35).
Y = mx+b,
m = (27-7)/(3+2) = 20/5 = 4.

(-2, 7).
Y = 4*(-2) + b = 7,
-8+b = 7,
b = 15.
Eq: Y = 4x + 15.