Question

What linear function equation can be represented by the set of these ordered pairs? {(-4,-6), (0,-3), (4,0), (12,6)}

Answer 1

y = (3/4)x - 3

Use y=mx+b
Find slope (m) using any two points. (slope = change in y over change in x)
(6-0)/(12-4) = 6/8 = 3/4
Your "b" should be where the line crosses the y-axis. In this case, it tells you (0,-3) meaning it crossed the y-axis at -3.
So, plugging all of these into the equation, you'd get y = (3/4)x - 3