Graph y=-1/2x+4

Problem

y=−1/2*x+4

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=4 This corresponds to the point (0,4) on the graph.

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

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

5. Use the slope to find a second point by moving 1 unit down and 2 units to the right from (0,4) which results in the point (2,3)

6. Draw a straight line passing through the points (0,4) and (2,3) to complete the graph.

Final Answer

y=−1/2*x+4

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