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

1 Answer
Sep 1, 2017

Answer:

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]}