Question

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

Answer 1

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]}