# How do you graph y = 3x - 2?

Jun 13, 2015

This is a straight line of slope 3 which intercepts the $y$ axis at $\left(0 , - 2\right)$ and the $x$ axis at $\left(\frac{2}{3} , 0\right)$

#### Explanation:

Equations of the form:

$y = m x + c$

are the equations of lines in slope-intercept form, where $m$ is the slope of the line and $c$ is the intercept with the $y$ axis.

In your example, slope $m = 3$ and intercept $c = - 2$.

We can also determine where the line intersects the $x$ axis by solving for $x$ in the case $y = 0$ ...

If $3 x - 2 = 0$ then $3 x = 2$ and $x = \frac{2}{3}$

graph{3x-2 [-10, 10, -5, 5]}