# How do you write the equation in point slope form given (-2,5) (1, -1)?

Apr 6, 2018

$\left(5 - y\right) = - 2 \left(- 2 - x\right)$

#### Explanation:

The formula for Point-Slope Form is ($y$-${y}_{1}$)=$m$($x$-${x}_{1}$).

Since you already have your points, all you need to do is find your slope which is $\text{change in y"/"change in x}$ or $\frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}}$.
So let's plug in the values:
$\frac{- 1 - 5}{1 - \left(- 2\right)}$

$= \frac{- 6}{3}$
The slope is $- 2$.

Now by substituting you first set of points and your slope into the formula, you get $\left(5 - y\right) = - 2 \left(- 2 - x\right)$.