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

1 Answer
Feb 29, 2016

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]}