Question

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

Answer 1

Refer to the Explanation.

Explanation:

First convert the standard equation for a line to the slope-intercept form by solving for `y`. Slope-intercept form is `y=mx+b`, where `m` is the slope and `b` is the y-intercept.

`3x+2y=2`

Subtract `3x` from both sides.

`2y=-2-3x`

Divide both sides by `2`.

`y=-2/2-3/2x`

Simplify.

`y=1-2/3x`

Rearrange into slope-intercept form.

`y=-2/3x+1`

Now find two points on the line by choosing values for `x` and solving for `y`.

`x=0,` `y=1`
`x=3,` `y=-1`

Plot the points on a graph and draw a straight line through the two points.

graph{y=-2/3x+1 [-10, 10, -5, 5]}