Question

Y=7x

y= 9x²

At how many points in the xy-plane do the graphs of the given equations intersect?​

Answer 1

2

Explanation:

A line and a parabola will intersect at one point if and only if that point is a point of tangency.

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Here, we know there is one point of intersection at x=0, but the line has a slope of 7, not 0. It is not a tangent to the parabola, so there must bet two points of intersection.