> > How do you find the points of intersection between a parabola and a line?

# How do you find the points of intersection between a parabola and a line?

## How do you find the points of intersection between a parabola and a...

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### How do you find the points of intersection between a parabola and a line?

How do you find the points of intersection between a parabola and a line?

$$The\ equation\ of\ a\ ^2+bx+c\\\\The\ equation\ of\ a\ line\ in\ the\ slope-intercept\ \\\\We\ obtain\ the\ system\ of\ \\\\ \left\{\begin{array}{ccc}y=ax^2+bx+c\\y=mx+b\end{array} ight\\\\substitution\ \\\\ax^2+bx+c=mx+b\\\\ax^2+bx-mx+c-b=0\\\\ax^2+(b-m)x+c-b=0\\\vdots$$