Graph y=-x-5

Problem

y=−x−5

Solution

1. Identify the equation as a linear function in slope-intercept form, which is y=m*x+b

2. Determine the y-intercept b which is the point where the line crosses the y-axis. Here, b=−5 so the point is (0,−5)

3. Determine the slope m which represents the "rise over run". Here, m=−1 meaning for every 1 unit moved to the right, the line moves 1 unit down.

4. Find a second point by applying the slope to the y-intercept. Starting at (0,−5) move right 1 and down 1 to reach (1,−6)

5. Find the x-intercept by setting y=0 and solving for x

0=−x−5

x=−5

6. Plot the points (0,−5) (1,−6) and (−5,0) on a coordinate plane and draw a straight line through them.

Final Answer

To graph the equation y=−x−5 plot the y-intercept at (0,−5) and use the slope m=−1 to plot additional points such as (1,−6) and (−1,−4) then connect them with a straight line.

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