Graph 3x-2y=-6

Problem

3*x−2*y=−6

Solution

1. Identify the equation as a linear equation in standard form, which represents a straight line.

2. Find the x-intercept by setting y=0 and solving for x

3*x−2*(0)=−6

3*x=−6

x=−2

The x-intercept is (−2,0)
3. Find the y-intercept by setting x=0 and solving for y

3*(0)−2*y=−6

−2*y=−6

y=3

The y-intercept is (0,3)
4. Solve for y to find the slope-intercept form y=m*x+b for easier graphing.

−2*y=−3*x−6

y=3/2*x+3

5. Plot the points (−2,0) and (0,3) on a coordinate plane and draw a straight line passing through both.

Final Answer

y=3/2*x+3

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