Graph x+3y=6

Problem

x+3*y=6

Solution

1. Identify the equation as a linear equation in two variables, which represents a straight line.

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

x+3*(0)=6

x=6

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

0+3*y=6

y=2

4. Rewrite in slope-intercept form y=m*x+b to identify the slope.

3*y=−x+6

y=−1/3*x+2

5. Plot the points (6,0) and (0,2) on a coordinate plane and draw a straight line passing through both points.

Final Answer

y=−1/3*x+2

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