what about the other options? even if we plug in other points we would still get a value for K right
Carcass wrote:
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)
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