How do you solve #y = 3x + 12# and #y = x^2 + 2x - 18#?
The points of intersections are:
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: