Graph y=-2x+7

Problem

y=−2*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 by looking at the constant term b=7 which corresponds to the point (0,7)

3. Determine the slope m=−2 which represents the "rise over run" ratio (−2)/1

4. Plot the y-intercept at (0,7) on the coordinate plane.

5. Find a second point by starting at (0,7) and moving down 2 units and right 1 unit to reach (1,5)

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

Final Answer

y=−2*x+7

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