Question

What is the equation of the line passing through `(4,50), (50,7)`?

Answer 1

Equation is `43x+46y=2472`

Explanation:

Equation of a line passing through two points `(x_1, y_1)` and `x_2, y_2)` is given by

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

As the two points are `(4,50)` and `(50,7)`, equation is given by

`(y-50)/(x-4)=(7-50)/(50-4)` or `(y-50)/(x-4)=-43/46` i.e.

`46y-2300=-43x+172` or

`43x+46y=2472`