16Hit1600
AlgebraVery hardIntercepts from a line and its triangle

Algebra practice question

In the xy-plane, the line 4x + 3y = 24 crosses the x-axis at point P and the y-axis at point Q. What is the length of segment PQ?

Answer: 10

P is (6, 0) and Q is (0, 8), so PQ = √(36 + 64) = 10.

Common wrong answers

If you answered 2
2 subtracts the intercepts.
If you answered 14
14 adds the intercepts.
If you answered 24
24 is the area of triangle OPQ.

More Algebra questions

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