# How do you write an equation of a line that passes through points (2,-2), (3,2)?

Dec 20, 2016

Find the slope; use that slope and plug into a point-slope formula.

#### Explanation:

Slope:

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

$m = \frac{2 - \left(- 2\right)}{3 - 2} = 4$

Point-Slope Formula:

$y - {y}_{1} = m \left(x - {x}_{1}\right)$

$y - 2 = 4 \left(x - 3\right)$

$y = 4 x - 10$