# What is the graph of the function y=3x-2?

Oct 4, 2014

This is a linear equation, the graph of a line.

This function is in slope intercept form, $y = m x + b$.

$m$ is the slope
$b$ is the $y$-intercept

In this example the slope is $= \frac{r i s e}{r u n} = 3 = \frac{3}{1}$ and the $y$-intercept is $- 2$.

If you are graphing by hand you would start by placing a point on the y-axis at position $\left(0 , - 2\right)$.

From point $\left(0 , - 2\right)$ you would rise ,go up, $3$ units then to the right $1$ unit.

Or

From point $\left(0 , - 2\right)$ you would go down $3$ units and then to the left $1$ unit.

Notice the green box that is placed on the starting point $\left(0 , - 2\right)$, the $y$-intercept .