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Chapter 4: Q6. (page 217)

Graph each equation.

2x+y=鈭�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=鈭�6in slope-intercept form.

The equation of the straight line is:

localid="1647497960509" 2x+y=鈭�62x+y鈭�2x=鈭�6鈭�2xSubtract2xfrombothsidesy=鈭�2x鈭�6

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

03

Step 3. Graph the equation.

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

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Most popular questions from this chapter

Write an equation in point slope-intercept form that passes through the given point and has the given slope.

3,鈭�5, slope23

Graph each equation.

3x+4y=8

Write an equation of the line with the given conditions.

鈭�3,4,1,12

A popular pizza parlor charges \(12 for a large cheese pizza plus \)1.50 for each additional topping. Write an equation in slope intercept form for the total cost C of a pizza with t toppings.

  1. C=12t+1.50
  2. C=13.50t
  3. C=12+1.50t
  4. C=1.50t鈭�12

Write an equation in point-slope form for the line that passes through each point with the given slope.

鈭�2,鈭�1,m=鈭�3
See all solutions

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