How do you graph #3x - 2y =4# by plotting points?

1 Answer
Jun 7, 2017

See below

Explanation:

Choose values for #x# and compute #y# to come up with a bunch of ordered pairs to plot.

It's good practice to choose a few negative values, zero and a few positive values:

(3,3.5)
(2,1)
(1,-0.5)
(0,-2)
(-1,-3.5)
(-2,-5)
(-3,-6.5

You could change the equation to slope-intercept form:

#y=mx+b#

#-2y=4-3x#

y=3/2x-2

This tells us that the slope is #3/2# and the y-intercept is #-2# which checks with the above ordered pair.

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