Question

What is a linear function f for f(-4)=2,f(6)=3

Answer 1

y - 3 = (1/10)(x - 6)

Explanation:

Note how x (the "run") increases by 10 and how y (the "rise") by 1. Thus, the slope of the line connecting point (-4, 2) with point (6, 3) is

m = rise / run = 1/10.

Using the point-slope equation of a straight line, we derive the equation of this particular line as follows:

y - 3 = (1/10)(x - 6)