16Hit1600
Advanced MathMediumy-coordinate of a particular intersection point

Advanced Math practice question

In the xy-plane, the graphs of y = x² − 3 and y = 2x intersect at two points. What is the y-coordinate of the intersection point that has the greater x-coordinate?

Answer: 6

Set equal: x² − 3 = 2x, so x² − 2x − 3 = (x − 3)(x + 1) = 0, x = 3 or −1. The greater x is 3, and y = 2(3) = 6.

Common wrong answers

If you answered 3
3 is the x-coordinate of that point, not its y-coordinate.
If you answered -2
−2 is the y-coordinate of the OTHER intersection point (x = −1).
If you answered -1
−1 is the smaller x-coordinate.

More Advanced Math questions

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