Chapter 4: Q.5 (page 247)

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

Short Answer

Expert verified

The equation of the line is $y = 2 x - 1$

The graph can be given as

Step by step solution

Given information

We are given a equation of the line as $y = 2 x + 1$

Find the slope of the parallel line

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

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

Hence the equation becomes $y = 2 x + b$

Find the y-intercept

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

We have,

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

Hence the equation becomes

$y = 2 x - 1$

Plot the graph of lines

The graph can be given as

Conclusion

The equation of the line is $y = 2 x - 1$

The graph can be given as

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

Short Answer

Step by step solution

Given information

Find the slope of the parallel line

Find the y-intercept

Plot the graph of lines

Conclusion

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Most popular questions from this chapter

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Study anywhere. Anytime. Across all devices.

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

Short Answer

Step by step solution

Given information

Find the slope of the parallel line

Find the y-intercept

Plot the graph of lines

Conclusion

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Calculus

Probability and Statistics

Mechanics Maths

Decision Maths

Statistics

Study anywhere. Anytime. Across all devices.

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