# What is the slope intercept form of the line passing through (3,11)  with a slope of -1/2 ?

May 1, 2018

$y = - \frac{1}{2} x + 12 \frac{1}{2}$

#### Explanation:

Slope-intercept form is y = mx + b.

We can input -1/2 as our m value, giving us $y = - \frac{1}{2} x + b$

All we need is to find our b value, which can be done by using the given point as our x and y values in the equation and finding the necessary b value.

$11 = \left(- \frac{1}{2} \cdot 3\right) + b$
$11 = - \frac{3}{2} + b$
$12 \frac{1}{2} = b$

With that final value, we can finish our equation.

$y = - \frac{1}{2} x + 12 \frac{1}{2}$