Question

What is the equation of the line passing through `(51,2)` and `(14,56)`?

Answer 1

`color(indigo)(37y + 54x = 2828`

Explanation:

Given `(x_1, y_1) = (51, 2), (x_2, y_2) = (14, 56)`

`m = (y_2 - y_1) / (x_2 - x_1) = (56 - 2) / (14-51) = -54/37`

Equation of the line is `(y - y_1) = m * (x - x_1)`

`(y - 2) = -(54/37) * (x - 51)`

`37y - 74 = -54x + 2754`

`37y + 54x = 2754 + 74 = 2828`