Question

Find the intersection point(s) of the graphs of
y=x^2 and 6+y=5x . Plot the intersection points (not the graphs of the equations) on the axes below.

Answer 1

y=5x-6 from second equation. Equate the y's
x^2=5x-6
x^2-5x+6=0
(x-3)(x-2)=0
x=3 and x=2 are the x coordinates of the points of intersection.
So plug 3 and 2 into either equation to get y. The graphs intersect at (3,9) and (2,4)