Question

Find the equation of a line through the given pair of point (2, 3) and (– 7, – 1)

Answer 1

Equation of the line joining the point  (2, 3) and (– 7, – 1) is

`(y - y_1)/(y_2 - y_1) = (x - x_1)/(x_2 - x_1)`

`(y - 3)/(-1 - 3) = (x - 2)/(-7 - 2)`

⇒ `(y - 3)/(-4) = (x - 2)/(-9)`

– 9 (y – 3) = – 4 (x – 2)

– 9y + 27 = – 4x + 8

4x – 9y + 27 – 8 = 0

4x – 9y + 19 = 0

The required equation is 4x – 9y + 19 = 0