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Chapter 4: Q6. (page 217)

Graph each equation.

2x+y=−6

Short Answer

Expert verified

The graph of the equation is:

Step by step solution

01

y=mx+bStep 1. State the concept of slope-intercept of an equation.

The slope-intercept form of a linear equation is , where mis the slope and bis they-intercept.

02

Step 2. Write equation of a line in slope-intercept form.

Rewrite the equation 2x+y=−6in slope-intercept form.

The equation of the straight line is:

localid="1647497960509" 2x+y=−62x+y−2x=−6−2xSubtract2xfrombothsidesy=−2x−6

The slope ism=−2and the y-intercept is (0,−6).

03

Step 3. Graph the equation.

To graph the equation, plot the y-intercept (0,−6). The slope is riserun=−21. From (0,−6), move down 2 unit and right 1 unit. Plot the point. Draw the line through the two points.

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