Question

What is the equation of the line passing through `(11,17)` and `(23,47)`?

Answer 1

`5x-2y-21=0`

Explanation:

Equation of the straight line passing through the points `(11, 17)\equiv(x_1, y_1)` & `(23, 47)\equiv(x_2, y_2)` is given as

`y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)`

`y-17=\frac{47-17}{23-11}(x-11)`

`y-17=\frac{5}{2}(x-11)`

`2y-34=5x-55`

`5x-2y-21=0`