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Graph y=-4x+2

Problem

y=−4*x+2

Solution

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

  2. Determine the y-intercept by looking at the constant term b=2 which corresponds to the point (0,2)

  3. Determine the slope m=−4 which represents the "rise over run" ratio (−4)/1

  4. Plot the y-intercept at (0,2) on the coordinate plane.

  5. Find a second point by starting at (0,2) and moving down 4 units and right 1 unit to reach (1,−2)

  6. Draw a straight line passing through the points (0,2) and (1,−2) to complete the graph.

Final Answer

y=−4*x+2


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