# What is the slope-intercept form of the line passing through  (0, 6)  and  (3, -2) ?

Sep 29, 2016

$y = - \frac{8}{3} + 6$

#### Explanation:

Using the slope formula: $\frac{y 2 - y 1}{x 2 - x 1}$
You should choose the first coordinate point to be $\left(x 1 , y 1\right)$ and the other to be $\left(x 2 , y 2\right)$
So $\frac{- 2 - 6}{3 - 0}$ will give you the slope $m$
Now you need to put the slope and one of the given points into slope-intercept form.
if $m = - \frac{8}{3}$ you can solve for $b$ in $y = m x + b$
Inserting the point $\left(0 , 6\right)$ we get
$6 = - \frac{8}{3} \left(0\right) + b$
So, $b = 6$
You can check this using the other point and plug in $b$.
-2=-8/3(3)+6?
Yes, because this equation is true, $b = 6$ must be the correct y-intercept.
Therefore, our equation is $y = - \frac{8}{3} + 6$