Graph x-y=3

Problem

x−y=3

Solution

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

x−y=3

−y=−x+3

y=x−3

2. Identify the y-intercept from the equation.

y-intercept=(0,−3)

3. Identify the slope to find a second point.

slope(m)=1

4. Calculate a second point by moving up 1 unit and right 1 unit from the y-intercept.

(0+1,−3+1)=(1,−2)

5. Find the x-intercept by setting y=0 in the original equation.

x−0=3

x=3

x-intercept=(3,0)

6. Plot the points (0,−3) and (3,0) and draw a straight line through them to represent the graph.

Final Answer

y=x−3

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