Graph the line 3y - 2x = 9

How do you graph 3y - 2x = 9?

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Slope-intercept form is y = mx + b
m is the slope {rise over run of the line, or vertical change over horizontal change}
b is the y-intercept {where the line hits the y-axis}

Get the equation in slope-intercept form.

3y - 2x = 9
3y = 2x + 9  {added 2x to each side}
y = (2/3)x + 3 {divided each side by 3}
slope = 2/3 {the number in front of the x}
y-intercept is 3 {the constant term}

To graph
- put a point at 3 on the y-axis (the y-intercept)
- from there, since the slope is 2/3, move up 2 and to the right 3 and put another point
- draw a line through the two points

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