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

Sep 1, 2017

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 $y = \frac{3}{2} x$ because the arithmetic is easier.

$x$ | $y$
$1 | \frac{3}{2} \cdot 1 = \frac{3}{2}$ when $x = 1 , y = \frac{3}{2}$
$2 | \frac{3}{2} \cdot 2 = \frac{6}{2} = 3$
$3 | \frac{3}{2} \cdot 3 = \frac{9}{2} = 4.5$
$4 | \frac{3}{2} \cdot 4 = 6$
$5 | \frac{3}{2} \cdot 5 = 7.5$
$6 | \frac{3}{2} \cdot 6 = 9$

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

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