Graph equation. 2x-3y=6

hvacwk

hvacwk

Answered question

2021-12-19

Graph equation.
2x3y=6

Answer & Explanation

Karen Robbins

Karen Robbins

Beginner2021-12-20Added 49 answers

We can graph an equation by determining the x- and y- intercepts and then drawing the line through them.

Set x=0 to find the y-intercept
203y=6
03y=6
y=2
Set y=0 to find the x-intercept
2x30=6
2x0=6
x=3
Maricela Alarcon

Maricela Alarcon

Beginner2021-12-21Added 28 answers

Subtract 2x from both sides
3y=2x+6
Divide each term by -3 to get the equation in slope- intercept form
y=23x2
Graph using you knowledge of slope-intercept form
nick1337

nick1337

Expert2021-12-27Added 777 answers

You can first re-arrange your expression by letting y alone on one side:
2x3y=6
3y=62x
and finally:
y=23x2
23 is the SLOPE. It tells you how the value of y changes when x changes. In this case for each change of 1 in x you have a change of 23 in y.
-2 is the intercept on the y axis.
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