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Chapter 3: Q5. (page 205)

Graph each equation.

鈭�3x=5鈭�y

Short Answer

Expert verified

The graph of the equation 鈭�3x=5鈭�yis:

Step by step solution

01

Step 1. Find the x and y-intercepts of the equation −3x=5−y.

To find the x-intercept, substitute 0 for y and find the value of x.

鈭�3x=5鈭�y鈭�3x=5鈭�0鈭�3x=5x=5鈭�3x=鈭�53

Therefore, the x-intercept is 鈭�53.

As, the x-intercept is 鈭�53that means the graph of 鈭�3x=5鈭�y will intersect the x-axis at 鈭�53,0.

To find the y-intercept, substitute 0 for x and find the value of y.

鈭�3x=5鈭�y鈭�30=5鈭�y0=5鈭�yy=5

Therefore, the y-intercept is 5.

As, the y-intercept is 5 that means the graph of 鈭�3x=5鈭�ywill intersect the y-axis at 0,5.

02

Step 2. Draw the graph of the equation −3x=5−y.

Draw the graph of the equation鈭�3x=5鈭�y by using the information that the graph of the equation鈭�3x=5鈭�y is a line passing through the points鈭�53,0 and 0,5.

Therefore, the graph of the equation鈭�3x=5鈭�y is:

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