Question

What is the equation of the line with slope `m=-4` that passes through `(5,5)`?

Answer 1

`color(green)(4x + y = 20`

Explanation:

To write equation of the line, given : `m = -4, (x_1,y_1) = (5,5)`

`"Point-Slope Form equation is " (y-y_1) = m * (x - x_1)`

`(y - 5) = -4 * (x - 5)`

`y - 5 = -4x + 20`

`color(green)(4x + y = 20, " rearranging"`