Question

x | y
-4 | 10
-2 | 7
6 | -5

The table represents some points on the graph of a linear function. Write a function that represents this relationship.

y = [?]

Answer 1

First find the slope: m = (7−10)/(−2−(−4)) = −3/2.

Use point-slope with (−4,10):
y − 10 = (−3/2)(x + 4) ⇒ y = (−3/2)x + 4.

So y = −(3/2)x + 4.