Question

Consider the set of points (2, 2) and (-4, 14) lie on the graph of a linear function. From the given options, find the other point which also lies on the graph of the same function.
(6, -6)
(-1, 5)
(5, 9)
(-5, 9)

Answer 1

Find the slope: m = (14 − 2)/(-4 − 2) = 12/(-6) = −2.
Line: y = −2x + b; using (2,2): 2 = −4 + b → b = 6, so y = −2x + 6.
Check options: for x = 6, y = −2(6)+6 = −6. So (6, −6) lies on the line.