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Chapter 4: Q.5 (page 247)

Find the equation of the line parallel to the line y=2x+1and containing the point (3,5). Express your answer in slope鈥搃ntercept form and graph the line.

Short Answer

Expert verified

The equation of the line isy=2x-1

The graph can be given as

Step by step solution

01

Given information

We are given a equation of the line asy=2x+1

02

Find the slope of the parallel line

The equation of the given line is y=2x+1.

Comparing with standard equation the slope of the line is 2.The slope of the parallel line is 2.

Hence the equation becomesy=2x+b

03

Find the y-intercept

To find the y-intercept substitute the given coordinates in the equation

We have,

y=2x+b5=2(3)+bb=5-6b=-1

Hence the equation becomes

y=2x-1

04

Plot the graph of lines

The graph can be given as

05

Conclusion

The equation of the line isy=2x-1

The graph can be given as

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Most popular questions from this chapter

Make up a polynomial function that has the following characteristics: crosses the x-axis at -1and 4, touches the x-axis at 0and 2, and is above the x-axis between 0and2. Give your polynomial function to a fellow classmate and ask for a written critique

Analyze each polynomial function using Steps 1through 8:

f(x)=x4-x3-6x2+4x+8.

Write a few paragraphs that provide a general strategy for graphing a polynomial function. Be sure to mention the following: degree, intercepts, end behavior, and turning points.

Graph each rational function using transformations.

R(x)=1x-1+1

Find the domain of the rational function.

Qx=-x1-x3x2+5x-2
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