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

Jun 17, 2018

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

#### Explanation:

Point-Slope form is $\left(y - {y}_{1}\right) = m \left({x}_{x} _ 1\right)$

Slope of a line knowing two points on it is

$m = \frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}}$

$m = \frac{1 + 7}{3 + 2}$

$\therefore \left(y - 1\right) = \left(\frac{8}{5}\right) \left(x - 3\right)$ is the slope-point form of the line.