Question

The line y = 8x – 4 intersects the parabola y = x2 + 2x + 5 at exactly one point. What are the coordinates of the point of intersection?

Answer 1

The intersection means that there is a point on both of the line and the parabola see the approximate figure:

Answer 2

So we can solve both equation together :

8x - 4 = x^2 + 2x + 5

x^2 - 6x + 9 = 0

(x - 3)(x-3) = 0
x = 3

y = 8 * 3 - 4 = 24 - 4= 20

So the point is (3,20)

Answer 3

Thank you,!!!!!

Answer 4

You're welcome.