Question

14. Which of the following sets of points do NOT lie on the line y = 3x + 4?

A) {(-6, -14), (-5, -11), (-4,-8)}
B) {(-3,-5), (-2,-2), (-1, -1)}
C){(3, 13), (4,16), (5, 19)}
D) {(0,4), (1,7), (2, 10)}

Answer 1

B) {(-3,-5), (-2,-2), (-1, -1)}

Explanation:

A point will not lie on a line if we replace the values of x and y of the point, and we do not get an identity.

In this question:

The answer is B, because:

When x = -3, we have that y = 3(-3) + 4 = -9 + 4 = -5(this is ok).

When x = -2, we have that y = 3(-2) + 4 = -6 + 4 = -2(ok)

However:

When x = -1, y = 3(-1) + 4 = -3 + 4 = 1, not -1 as is given in the option.