# What is the slope and intercept for y=1/2x-1 and how would you graph it?

Oct 10, 2015

Slope = $\frac{1}{2}$, intercept = $- 1$. For the graph, see below.

#### Explanation:

When a line's equation is in the form $y = m x + q$, then $m$ is the slope, and $q$ is the $y$-intercept.

So, in your case, $m = \frac{1}{2}$ is the slope, and $q = - 1$ is the intercept.

The easiest way to graph a line is always to find two of its point and connecting them. For example, let's pick $x = 0$ and $x = 2$. The correspondant $y$ values are

$y \left(0\right) = \frac{1}{2} \cdot 0 - 1 = - 1$, and

$y \left(2\right) = \frac{1}{2} \cdot 2 - 1 = 1 - 1 = 0$.

So, the line passes through $\left(0 , - 1\right)$ and $\left(2 , 0\right)$, and with two points known, the line is uniquely identified.