Graph y=-x

Problem

y=−x

Solution

1. Identify the type of equation. This is a linear equation in the form y=m*x+b where m is the slope and b is the y-intercept.

2. Determine the slope and y-intercept. For the equation y=−x the slope m is −1 and the y-intercept b is 0

3. Plot the y-intercept. Since b=0 the line passes through the origin (0,0)

4. Use the slope to find another point. A slope of −1 means that for every 1 unit moved to the right, the line moves 1 unit down. Starting from (0,0) move to (1,−1)

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

Final Answer

The graph of y=−x is a straight line passing through the origin with a slope of −1

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