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Midpoint Formula Tutorial

Midpoint Formula Tut

$$x\;=\frac{\;mx_2*nx_1}{m+n}$$

$$y\;=\frac{\;my_2*ny_1}{m+n}$$

If P is midpoint
So m = n

$$x\;=\frac{\;nx_2*nx_1}{n+n}$$

$$x\;=\frac{\;n(x_2*x_1)}{2n}$$

$$x\;=\frac{\;x_2*x_1}{2}$$

Therefore:

$$y\;=\frac{\;y_2*y_1}{2}$$

Midpoint Formula:

$$\text{Midpoint Formula}\;=$$

$$(\frac{\;x_2*x_1}{2},\frac{\;y_2*y_1}{2})$$

Let x1=-3 and y1=3.In the same way x2=5 and y2=3.Putting all the values in formula.

$$\text{Midpoint Formula}\;=$$

$$(\frac{\;-3*5}{2},\frac{\;3*3}{2})$$

$$\text{Midpoint Formula}\;=$$

$$(\frac{\;2}{2},\frac{\;6}{2})$$

$$\text{Midpoint Formula}\;=\;(1,3)$$