In week 12 of Pre-Calc we learned how to put a linear and quadratic equation on a graph and find their solution. Linear and Quadratic equations can have 0, 1, and 2 solutions.

Example

y=2x+5

y=4x^2-2x-3

*you have to replace the y in one of the equations with with the other equation.

In this case I placed the first equation (y=2x+5) into the second one, and then I continued to cancel out one side so I could get it all on one side and factor the equation to find my two x intercepts.

I then took the first equation and plugged in the x intercepts into the x of the equation which gave me my y intercept.

(2,9) and (-1,3) are the points to the solution

you can see that the linear and quadratic graph intersect at the 2 points that we found algebraically.