Graph y=-1/2x+2

Problem

y=−1/2*x+2

Solution

1. Identify the slope and the y-intercept from the linear equation in slope-intercept form y=m*x+b

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

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

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

5. Use the slope to find a second point by moving down 1 unit and right 2 units from the y-intercept, arriving at (2,1)

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

Final Answer

y=−1/2*x+2

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