# How do you find the slope and y-intercept for the line y = (1/2)x + 3?

May 7, 2018

Slope $= \frac{1}{2}$ and $y -$intercept $= 3$

#### Explanation:

The equation of a straight line in slope and y-intercept form is:
$y = m x + c$ where $m$ is the slope of the line and $c$ is the y-intercept.

In this example we have $y = \left(\frac{1}{2}\right) x + 3$

Note that this equation is already in slope and y-intercept form with $m = \frac{1}{2} \mathmr{and} c = 3$

Hence, Slope $= \frac{1}{2}$ and $y -$intercept $= 3$

We can observe this result by looking at the graph of $y$ below.

graph{(1/2)x + 3 [-6.7, 3.164, -0.65, 4.282]}