Graph x-2y=6

Problem

x−2*y=6

Solution

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

2. Solve for y to put the equation into slope-intercept form y=m*x+b

3. Subtract x from both sides of the equation.

−2*y=−x+6

4. Divide every term by −2 to isolate y

y=1/2*x−3

5. Determine the slope m and the yintercept b

m=1/2

b=−3

6. Plot the yintercept at the point (0,−3)

7. Use the slope (rise over run) to find a second point by moving up 1 unit and right 2 units from the yintercept to the point (2,−2)

8. Draw a straight line passing through these points to complete the graph.

Final Answer

y=1/2*x−3

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