16Hit1600
AlgebraVery hardLine through the x-intercept of another line

Algebra practice question

In the xy-plane, line m passes through the point (4, 5) and through the x-intercept of the line 4x − 9 = 0. What is the slope of line m?

Answer: 20/7

The x-intercept of 4x − 9 = 0 is (9/4, 0); the slope from there to (4, 5) is 5/(4 − 9/4) = 5/(7/4) = 20/7.

Common wrong answers

If you answered 5/4
5/4 uses the origin as the second point.
If you answered 7/20
7/20 inverts the slope.
If you answered -20/7
−20/7 has the sign wrong.

More Algebra questions

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