In the xy-coordinate plane, which of the following points must lie on the line...

[AAPL]

Official Guide

In the xy-coordinate plane, which of the following points must lie on the line kx + 3y = 6 for every possible value of k?

A. (1, 1)
B. (0, 2)
C. (2, 0)
D. (3, 6)
E. (6, 3)

OA B

[Brent@GMATPrepNow]

Official Guide

In the xy-coordinate plane, which of the following points must lie on the line kx + 3y = 6 for every possible value of k?

A. (1, 1)
B. (0, 2)
C. (2, 0)
D. (3, 6)
E. (6, 3)

OA B

We're looking for a set of coordinates that are not affected by the value of k.
Notice that, in answer choice B (0,2), the x-coordinate is 0 and y = 2
So, if we plug x = 0 and y = 2 into the equation kx + 3y = 6, we get k(0) + 3(2) = 6
Notice that, since x = 0, the value of k is irrelevant.
So, (0, 2) will ALWAYS be a point on the line kx + 3y = 6

Answer: B

Cheers,
Brent