# Math Help - intersection

1. ## intersection

the line $y=mx$ intersects the curve $y=e^x$ at two distinct points, write an inequality for $m$

2. Originally Posted by Punch
the line $y=mx$ intersects the curve $y=e^x$ at two distinct points, write an inequality for $m$
HINT: The line $y=ex$ intersects the graph in one point.

3. Originally Posted by Plato
HINT: The line $y=ex$ intersects the graph in one point.
So, i have to find b^2-4ac=0 and find m at that point, then the inequality would be m>that value found because any line steeper would intersect twice.

then, mx=e^x

but how am i supposed to form a quadratic equation of this

4. Where did you get a, b, and c?

Other hint: Where does the line y = 10000000000*x intersect y = e^x?