16Hit1600
AlgebraVery hardValue of a constant so a point lies on a line

Algebra practice question

In the xy-plane, the line with equation kx − 3y = 12 passes through the point (2, −2). What is the value of k?

Answer: 3

Substitute: 2k + 6 = 12, so 2k = 6 and k = 3.

Common wrong answers

If you answered 6
6 is 2k, not k.
If you answered 9
9 comes from 2k − 6 = 12 (wrong sign on the y term: −3 × −2 = +6).
If you answered -3
−3 has the wrong sign.

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