# How do you solve #y = 3x + 12# and #y = x^2 + 2x - 18#?

##### 1 Answer

May 2, 2016

The points of intersections are:

#### Explanation:

We are looking for the intersection of a line and a parabola. In other words, we want the points where if we put the same

which we can simplify to

Now we can use the quadratic equation to find the roots of our new quadratic where

To find the corresponding

So the points of intersections are: