# How do you write an equation of a line in point slope form passing through the points (5, -1) (-3, 4)?

##### 1 Answer
Apr 3, 2015

For a straight line the slope is the same no matter which pair of points on the line you use.

Using a variable point $\left(x , y\right)$ and the two fixed points we could equate two expressions for the slope:
$\frac{y - \left(- 1\right)}{x - 5} = \frac{4 - \left(- 1\right)}{- 3 - 5}$

which simplifies as
$y + 1 = \left(- \frac{5}{8}\right) \left(x - 5\right)$