Question

How do you write an equation in point-slope form for the given (-2,-7) and (3,1)?

Answer 1

`color(orange)((y - 1) = (8/5) (x - 3)` is the slope-point form of the line.

Explanation:

Point-Slope form is `(y - y_1) = m (x _ x_1)`

Slope of a line knowing two points on it is

`m = (y_2 - y_1) / (x_2 - x_1)`

`m = (1 + 7) / (3 + 2)`

`:. ( y - 1) = (8/5) (x - 3)` is the slope-point form of the line.