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Chapter 3: Q4. (page 205)

Graph each equation.

x+2y=鈭�1

Short Answer

Expert verified

The graph of the equation x+2y=鈭�1is:

Step by step solution

01

Step 1. Find the x and y-intercepts of the equation x+2y=−1.

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

x+2y=鈭�1x+20=鈭�1x+0=鈭�1x=鈭�1

Therefore, the x-intercept is -1.

As, the x-intercept is -1that means the graph of x+2y=鈭�1 will intersect the x-axis at 鈭�1,0.

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

x+2y=鈭�10+2y=鈭�12y=鈭�1y=鈭�12

Therefore, the y-intercept is 鈭�12.

As, the y-intercept is鈭�12that means the graph ofx+2y=鈭�1 will intersect the y-axis at width="59">0,鈭�12.

02

Step 2. Draw the graph of the equation x+2y=−1.

Draw the graph of the equationx+2y=鈭�1 by using the information that the graph of the equationx+2y=鈭�1 is a line passing through the points鈭�1,0 and 0,鈭�12.

Therefore, the graph of the equationx+2y=鈭�1 is:

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