Question

How do you graph `3x = 2y` by plotting points?

Answer 1

Plug in values of x and see what their y value is

Explanation:

Draw up a table of `x` and y values, then plot on a chart.
I'd manipulate the equation to `y=3/2x` because the arithmetic is easier.

`x` | `y`
`1 | 3/2*1 = 3/2` when `x = 1, y =3/2`
`2 | 3/2*2 = 6/2=3`
`3 | 3/2*3=9/2=4.5`
`4|3/2*4=6`
`5|3/2*5=7.5`
`6|3/2*6=9`

By now you should be able to spot that the difference between the y values is always `+1.5`, or `+3/2` This means that the gradient (slope) of the line is `3/2`.

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