Question

Find the intersection point(s) of the graphs of:
y=x^2 and -6+y=-1x
Plot the intersection points (not the graphs of the equations) on the axes below.

Answer 1

Well, to find intersection points, just solve for y and set them equal to each other, then solve for x

y=x^2
y=-1x+6

x^2=-1x+6
x^2+1x-6 = 0

Answer 2

-x+6=x^2
x^2+x-6=0
(x+3)(x-2)=0
They intersect with x = -3 and at x = 2
Intersection at the points (-3, 9) and (2, 4)

Answer 3

TBates: Where did you get 9 and 4 from?

Answer 4

From substituting in x in the original equations
(-3)^2 = 9
(2)^2 = 4

Answer 5

I'm graphing it wrong for some reason on my online homework. Can you draw it out please?

Answer 6

It seems to just want the points plotted on the graph, so it's just a point at (-3, 9) and (2, 4)