# How do you find the slope and intercept to graph y=1/2x-4?

Mar 29, 2018

The slope of the line $y = \frac{1}{2} x - 4$ is $\frac{1}{2}$, the y-intercept is $- 4$, and the x-intercept is $8$.

#### Explanation:

When a linear equation is in the form $y = m x + b$, the slope is $m$. In this case, the slope is the coefficient of $x$ which is $\frac{1}{2}$.

To find the y-intercept, substitute $0$ for $x$:
$y = \frac{1}{2} \cdot 0 - 4$
$y = - 4$
The y-intercept is $- 4$.

To find the x-intercept, substitute $0$ for $y$:
$0 = \frac{1}{2} x - 4$
$\frac{1}{2} x = 4$
$x = 8$
The x-intercept is $8$.