If the points `P(h , k),\ Q(x_1, y_1)a n d\ R(x_2, y_2)` lie on a line. Show that: `(h-x_1)(y_2-y_1)=(k-y_1)(x_2-x_1)dot`

Explanation

So slope of `PQ=QR=RP`

Slope` =(frac{y_2-y_{1}}{x_2-x_1})`


Slope of `P Q=(frac{y_{1}-k}{x_{1}-h})`


Slope of` Q R=(frac{y_{2}-y_{1}}{x_{2}-x_{1}})`


Slope of `R P=(frac{y_{2}-k}{x_{2}-h})`

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