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Chapter 3: Q11. (page 202)

Find the x-intercept and y-intercept of the graph of each linear function.

Short Answer

Expert verified

The x-intercept isx=鈭�8 and the y-intercept is y=6.

Step by step solution

01

Step 1. Find the slope of the line.

Find the equation of the line using any two points. Use the formula to find slope of the line:

m=y2鈭�y1x2鈭�x1m=3鈭�0鈭�4鈭�鈭�8m=3鈭�4+8m=34

02

Step 2. Find the equation of the line.

The equation of a line is given by,

y鈭�y1=mx鈭�x1y鈭�0=34x鈭�鈭�84y=3x+84y=3x+24

03

Step 3. Find the x and y intercepts.

Find the x-intercept, plug in y=0in the equation.

4y=3x+2440=3x+24[Pluginy=0]0=3x+243x=鈭�24x=鈭�8

x-Intercept: x=鈭�8.

Find the y-intercept, plug in x=0in the equation.

4y=3x+244y=30+24[Pluginx=0]4y=0+244y=24y=6

y-Intercept: y=6.

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Most popular questions from this chapter

Find the next three terms of each arithmetic sequence.

6,11,16,21,....

Find the slope of the line that passes through each pair of points.

鈭�6,4,鈭�6,鈭�2

Compare and contrast the graphs ofy=2x+1 with the domain{1,2,3,4} andy=2x+1 with the domain of all real numbers.

The distance d in kilometers that sound waves travel through water is given byd=1.6t, where t is the time in seconds.

  1. Make a table of values and graph the equation.
  2. Use the graph to estimate how far sound can travel through water in 7 seconds.

Solve each equation.

鈭�4x鈭�28=0
See all solutions

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