# How do you graph the line y=5/3x?

Jul 21, 2016

The equation looks like this:
graph{5/3x+0=y}
With these points of interest
$y$-intercept $= 0$
Slope $= \frac{5}{3}$

#### Explanation:

When we look at an equation, it can be difficult to picture what it represents. If we know what each of the components signifies then we can understand it better.

$y = \frac{5}{3} x$ is set up in the format of $y = m x + b$. Let's find out what each of those variables means:
$m$ means slope, or distance in the $y$-direction over the distance in the $x$-direction, or $\text{rise"/"run}$.
$x$ is just the variable used in this equation
$b$ is the $y$-intercept

Now we know what our equation means: the line has a slope of $5$ units in the $y$ direction and $3$ in the $x$, and has a $y$-intercept at $y = 0$.

The graph goes through the origin, going up $5$ and to the right $3$. It should look like this.
graph{y=5/3x+0}