The x and y values for a line that intersects with a quadratic equation

Below are the workings required to build an interactive graph that finds the points where a line and quadratic equation intersect.

Line and parabola intersect

Here 'a' is not equal to 0 as it becomes part of the denominator a fraction. Also, if 'a' were equal to 0, we'd have a line intersecting a line, not a parabola (for instance).

Algebraic workings

When we have the formula for 'x', we just plug it back into the linear equation to get the outcomes for 'y'.

And there we have it, the points where a line and quadratic equation intersect.

To see the interactive graph I was talking about, visit the Desmos link below:

https://www.desmos.com/calculator/sqzjajbhea

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