Question

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

Answer 1

The equation looks like this:
graph{5/3x+0=y}
With these points of interest
`y`-intercept `= 0`
Slope `= 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=5/3x` is set up in the format of `y=mx+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 `"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}