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

jeNdarmjeax11tx

jeNdarmjeax11tx

Answered question

2023-02-21

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

Answer & Explanation

daneetuhxxtj

daneetuhxxtj

Beginner2023-02-22Added 8 answers

By first solving for y , change the standard equation for a line to the slope-intercept form. Slope-intercept form is y = m x + b , where m is the slope and b is the y-intercept.
3 x + 2 y = 2
Subtract 3 x from both sides.
2 y = - 2 - 3 x
Divide both sides by 2 .
y = - 2 2 - 3 2 x
Simplify.
y = 1 - 2 3 x
Rearrange into slope-intercept form.
y = - 2 3 x + 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]}

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