Finding point of intersection of two functions Algebraically
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Suppose you are given two equations and you are asked to find out its points of intersection. Two equations may be equation of line, plane, circle, parabola, ellipse or hyperbola. You can use this method to find points of intersection of any two given curves. You can find these two points by following these steps.
Solve first equation for y or write in the form of y=f(x).
Solve second equation for y or write in the form of y=f(x).
Equate y-values.
Write in general form.
Factor the general form.
Solve for x.
The corresponding values of y are obtained by substituting into either of the original equations. Doing this process you will get two points of intersection. You can check the points of intersection by substituting into both of the original equations or by using the intersect function of a graphing utility.
