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Graph x-y=6

Problem

x−y=6

Solution

  1. Rewrite the equation in slope-intercept form y=m*x+b by isolating y

x−y=6

−y=−x+6

y=x−6

  1. Identify the slope m and the y-intercept b from the equation.

m=1

b=−6

  1. Determine the y-intercept point where the line crosses the y-axis.

y-intercept=(0,−6)

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

0=x−6

x=6

x-intercept=(6,0)

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

Final Answer

y=x−6


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