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Graph y=-3x+7

Problem

y=−3*x+7

Solution

  1. Identify the equation as a linear function in slope-intercept form, which is y=m*x+b

  2. Determine the y-intercept from the constant term b=7 which corresponds to the point (0,7)

  3. Identify the slope m=−3 which represents the "rise over run" ratio (−3)/1

  4. Plot a second point by starting at (0,7) and moving down 3 units and right 1 unit to reach (1,4)

  5. Draw a straight line passing through the points (0,7) and (1,4) to complete the graph.

Final Answer

y=−3*x+7


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