# What is the slope-intercept form of the line passing through (4, 5) and  (-4, 1) ?

Apr 23, 2016

You must first find the slope, m.

#### Explanation:

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

$m = \frac{1 - 5}{- 4 - 4}$

$m = - \frac{4}{-} 8$

$m = \frac{1}{2}$

Now, using the slope, and one of the points in slope point form,we get:

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

$y - 5 = \frac{1}{2} \left(x - 4\right)$

$y - 5 = \frac{1}{2} x - 2$

$y = \frac{1}{2} x + 3$

Hopefully this helps!