Question

Which is an equation in point-slope form for the line that passes through the points (-1,4) and (3,-4)?

Answer 1

`color(brown)(y - 4 = -2 (x + 1)` is the point - Slope form of the line.

Explanation:

Equation of a line passing through two points is

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

`(x_1,y_1) = (-1,4), (x_2, y_2) = (3, -4)`

`(y - 4) / (-4 -4) = (x + 1)/(3 + 1)`

`(y-4) / -8 = (x+1)/4`

`y - 4 = -2 (x + 1)` is the point - Slope form of the line.