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

1 Answer
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=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]}