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Graph y=-1/2x-1

Problem

y=−1/2*x−1

Solution

  1. Identify the slope-intercept form of the linear equation, which is y=m*x+b where m is the slope and b is the y-intercept.

  2. Determine the y-intercept from the equation, which is b=−1 This corresponds to the point (0,−1) on the graph.

  3. Determine the slope from the equation, which is m=−1/2 This represents a "rise" of −1 and a "run" of 2

  4. Plot the y-intercept (0,−1) on the coordinate plane.

  5. Apply the slope to find a second point by starting at (0,−1) moving down 1 unit and right 2 units to reach the point (2,−2)

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

Final Answer

y=−1/2*x−1


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