# What is the slope and intercept for 3x - y =1 and how would you graph it?

Oct 8, 2015

Slope: $3$
y-intercept: $- 1$
x-intercept: $\frac{1}{3}$

#### Explanation:

To determine the slope
Either
a. Remember that if $A x + B y = C$ then the slope is $- \frac{A}{B}$
or
b. Rewrite the equation in slope-intercept form:
$\textcolor{w h i t e}{\text{XXX}} y = 3 x - 1$ (with a slope $m = 3$ and y-intercept $\left(- 1\right)$

The y-intercept (if you didn't get it from the slope intercept form) is the value of $y$ when $x = 0$
$\textcolor{w h i t e}{\text{XXX}} 3 \left(0\right) - y = 1$
$\textcolor{w h i t e}{\text{XXX}} y = - 1$

The x-intercept is the value of $x$ when $y = 0$
$\textcolor{w h i t e}{\text{XXX}} 3 x - \left(0\right) = 1$
$\textcolor{w h i t e}{\text{XXX}} x = \frac{1}{3}$