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Chapter 1: Q. 72 (page 15)

The graph of an equation is given. List the intercepts of the graph.

Short Answer

Expert verified

The intercept of the graph are2,0,-2,0and0,-3.

Step by step solution

01

given information. 

The graph of an equation is given. List the intercepts of the graph.

02

Step 2. Definition of intercept.

The points, if any, at which a graph crosses or touches the coordinate axes are called the intercepts. The x-coordinate of a point at which the graph crosses or touches the x-axis is an x-intercept, and the y-coordinate of a point at which the graph crosses or touches the y-axis is a y-intercept.

03

Step 3. Locate intercept from the graph. 

The intercepts of the graph are the points 2,0,-2,0and0,-3.

The x-intercepts are 2,0and-2,0. The y-intercept is0,-3.

04

Step. Conclusion.  

The intercept of the graph are2,0,-2,0and0,-3.

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Most popular questions from this chapter

Plot the points (0,3),(1,3),(-2,3),(5,3),and (-4,3). Describe the set of all points of the form (x,3), where x is a real number.

What can you say about two lines with the same x-intercept and the same y-intercept Assume that the x-intercept is not 0.

Plot the points (2,0),(2,-3),(2,4),(2,1), and (2,-1). Describe the set of all points of the form (2,y), where y is a real number.

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The figure shows the graph of two parallel lines. Which of the following pairs of equations might have such a graph?

(a)x-2y=3x+2y=7(b)x+y=2x+y=-1(c)x-y=-2x-y=1(d)x-y=-22x-2y=-4(e)x+2y=2x+2y=-1
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