Question

Suppose that y equals 2x -3. The following points lie on the graph of this equation: A(a,2a-3), B(b,2b-3), and C(c,2c-3). Amy claims that the slopes of AB, BC, and AC are equal. Prove Amy's claim is correct.

Answer 1

Linear since it is 1st degree (highest exponent of variable is 1)

if they lie on the line, then the slopes are equal

if any 2 points on a line will have the same slope as another set of 2 points (a line's slope never changes in a linear function)