What is the y-coordinate of the solution

Question

Y=8x+9

y=x^2+4x+13

Answer 1

The "solutions" are the points where the two functions are equal. So set them equal:

8x + 9 = x² + 4x + 13

0 = x² - 4x + 4

0 = (x-2)²

x = 2

To find the y-coordinate, plug x= 2 into either equation and compute the y. You should get the same y value in each equation.