16Hit1600
AlgebraVery hardPoint of the form (k, 2k) on a line

Algebra practice question

In the xy-plane, a line passes through the points (2, 7) and (−4, 1). The point (k, 2k) also lies on the line. What is the value of k?

Answer: 5

The slope is (7 − 1)/(2 + 4) = 1, so the line is y = x + 5. Then 2k = k + 5 gives k = 5.

Common wrong answers

If you answered 1
1 is the slope.
If you answered 10
10 is 2k, the y-coordinate.
If you answered -5
−5 has the sign wrong.

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