16Hit1600
AlgebraVery hardSlope equal to the y-intercept

Algebra practice question

In the xy-plane, the line through (2, 3) and (6, k) has a slope equal to its y-intercept. What is the value of k?

Answer: 7

With slope m, the y-intercept is 3 − 2m. Setting m = 3 − 2m gives m = 1, so (k − 3)/4 = 1 and k = 7.

Common wrong answers

If you answered 1
1 is the slope, not k.
If you answered 3
3 would give slope 0 and y-intercept 3, which are not equal.
If you answered 11
11 gives slope 2 but y-intercept −1.

More Algebra questions

Not affiliated with the College Board. SAT is a trademark of the College Board.