Three points `P(h ,k),Q(x_1,y_1)`and `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)`.

Explanation

Points P, Q and R lie on the same line.


So, Slope of PQ= slope of QR


`=> (y_1-k)/(x_1-h) = (y_2-y_1)/(x_2-x_1)`


`=> (k - y_1)/(h-x_1) = (y_2-y_1)/ (x_2-x_1)`


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