Question

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)

Answer 1

Answer: (B)

(0,2)

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 put 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