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Chapter 3: Q4B. (page 156)

Graph each equation by using the x- and y-intercepts.

y=鈭�x鈭�5

Short Answer

Expert verified

The graph of the equation y=鈭�x鈭�5is:

Step by step solution

01

Step 1. Find the x and y- intercepts of the equation y=−x−5.

To find the -xintercept, substitute 0 for yand find the value of x.

y=鈭�x鈭�50=鈭�x鈭�5x=鈭�5

Therefore, the x-intercept is 鈭�5.

As, the x-intercept is鈭�5that means the graph ofy=鈭�x鈭�5will intersect the x-axis at 鈭�5,0.

To find the y-intercept, substitute 0 forxand find the value of y.

y=鈭�x鈭�5y=鈭�0鈭�5y=鈭�5

Therefore, the y-intercept is 鈭�5.

As, the y-intercept is鈭�5that means the graph ofy=鈭�x鈭�5will intersect the y-axis at 0,鈭�5.

02

Step 2. Draw the graph of the equation y=−x−5.

Draw the graph of the equationy=鈭�x鈭�5 by using the information that the graph of the equationy=鈭�x鈭�5 is a line passing through the points鈭�5,0 and 0,鈭�5.

Therefore, the graph of the equationy=鈭�x鈭�5 is:

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