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If the points P(h , k),\ Q(x1, y1)a n d\...

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`

Text Solution

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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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