### Home > INT2 > Chapter 10 > Lesson 10.2.3 > Problem10-86

10-86.

What are the point(s) of intersection, if any, for the systems given below?
Use an algebraic solving method of your choice.

1. $y = x^2 - x - 2$
$y = x − 6$

Use substitution or the equal values method.

$x^2 - x - 2 = x - 6$

$x^2 - 2x + 4 = 0$

Solve

What does the solution to the quadratic equation tell about the intersection points?

1. $y = 2x^2 + 3x - 9$
$y = x - 5$

Use the same method as part (a).

Two intersection points: $(1, -4)$ and $(-2, -7)$.