Find quadratic equation from 3 points calculator

Given the points P(-2, 7), Q(6, 8) and R(-1, -3), we find the quadratic equation of the form as follows:

Step 1:
We check to make sure that no pair of points is colinear (i.e. lie on the same line) by making that the slopes of the combinations of the line are not equal.

Slope of PQ =
Slope of PR =
Slope of QR =

Since, the slope of the lines are not equal, thus the points are not colinear nor parallel.

Step 2:
Substitute the x-values and the y-values of the given points into the quadratic equation formular to have three system of equations as follows:



Step 3:
We solve the system of equations as follows:






Thus,



Therefore, the quadratic equation with the three given points is

Where’s the