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Algebra 1 : Parallel Lines

Study concepts, example questions & explanations for Algebra 1

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Example Questions

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Example Question #33 : How To Find Out If Lines Are Parallel

Which of the following lines is parallel to a line with the equation:

y=8x+3

Possible Answers:

$y=\frac{1}{8}x+12$

y=-8x-1

$y=\frac{1}{8}x+2$

y=8x-23

Correct answer:

y=8x-23

Explanation:

For two lines to be parallel, they must have the same slope.

Lines can be written in the slope-intercept form:

y=mx+b

In this equation, equals the slope and represents the y-intercept.

The slope of the given line is:

m=8

There is only one line with a slope of .

y=8x-23

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Example Question #34 : How To Find Out If Lines Are Parallel

Which of the following are parallel to the line y=3x ?

Possible Answers:

4y-160=4x

3y=3x+144

2y+3x=46

2y-128=6x

2x=3y+56

Correct answer:

2y-128=6x

Explanation:

Two lines are parallel when they have the same slope. We can determine the slope of a line in the form y=mx+b by identifying , the coefficient of x.

In this case, a line will be parallel to y=3x if and only if the coefficient of x is 3.

So we find:

2y-128=6x

2y=6x+128

$\frac{2y}{2}=\frac{6x+128}{2}$

$y={\color{Red} 3x}+64$

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Example Question #35 : How To Find Out If Lines Are Parallel

Find the equation of a line parallel to:

$y=-\frac{3}{4}x-2$

Possible Answers:

y=-3x-1

$y=\frac{4}{3}x-2$

$y=-\frac{3}{4}x+10$

$y=\frac{3}{4}x-2$

Correct answer:

$y=-\frac{3}{4}x+10$

Explanation:

Lines that are parallel have the same slope. Lines can be written in the slope-intercept form:

y=mx+b

In this equation, equals the slope and represents the y-intercept.

In the given equation:

$m=-\frac{3}{4}$

Only one of the choices has a slope of $-\frac{3}{4}$ :

$y=-\frac{3}{4}x+10$

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Example Question #36 : How To Find Out If Lines Are Parallel

Find the equation of a line parallel to:

y=-8x-12

Possible Answers:

$y=\frac{1}{8}x-2$

y=8x-12

y=-8x+22

$y=-\frac{1}{8}x+3$

Correct answer:

y=-8x+22

Explanation:

Lines that are parallel have the same slope. Lines can be written in the slope-intercept form:

y=mx+b

In this equation, equals the slope and represents the y-intercept.

In the given equation:

m=-8

Only one of the choices has a slope of :

y=-8x+22

Report an Error

Example Question #37 : How To Find Out If Lines Are Parallel

Find the equation of a line parallel to:

y=10x-12

Possible Answers:

y=10x+24

$y=\frac{1}{10}x+24$

$y=-\frac{1}{10}x-1$

y=-10x-21

Correct answer:

y=10x+24

Explanation:

Lines that are parallel have the same slope. Lines can be written in the slope-intercept form:

y=mx+b

In this equation, equals the slope and represents the y-intercept.

In the given equation:

m=10

Only one of the choices has a slope of :

y=10x+24

Report an Error

Example Question #38 : How To Find Out If Lines Are Parallel

Find the equation of a line parallel to:

$y=\frac{2}{7}x-1$

Possible Answers:

$y=\frac{7}{2}x-2$

$y=-\frac{2}{7}x+2$

$y=\frac{2}{7}x+12$

y=-7x+5

Correct answer:

$y=\frac{2}{7}x+12$

Explanation:

Lines that are parallel have the same slope. Lines can be written in the slope-intercept form:

y=mx+b

In this equation, equals the slope and represents the y-intercept.

In the given equation:

$m=\frac{2}{7}$

Only one of the choices has a slope of $\frac{2}{7}$ :

$y=\frac{2}{7}x+12$

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Example Question #39 : How To Find Out If Lines Are Parallel

Find the equation of a line parallel to:

$y=\frac{9}{4}x-12$

Possible Answers:

y=-9x-4

$y=-\frac{9}{4}x+12$

$y=\frac{9}{4}x+3$

$y=\frac{4}{9}x-2$

Correct answer:

$y=\frac{9}{4}x+3$

Explanation:

Lines that are parallel have the same slope. Lines can be written in the slope-intercept form:

y=mx+b

In this equation, equals the slope and represents the y-intercept.

In the given equation:

$m=\frac{9}{4}$

Only one of the choices has a slope of $\frac{9}{4}$ :

$y=\frac{9}{4}x+3$

Report an Error

Example Question #40 : How To Find Out If Lines Are Parallel

Find the equation of a line parallel to:

y=4x-1

Possible Answers:

$y=-\frac{1}{4}x+2$

y=-4x+3

$y=4x-\frac{1}{2}$

$y=\frac{1}{4}x-2$

Correct answer:

$y=4x-\frac{1}{2}$

Explanation:

Lines that are parallel have the same slope. Lines can be written in the slope-intercept form:

y=mx+b

In this equation, equals the slope and represents the y-intercept.

In the given equation:

m=4

Only one of the choices has a slope of :

$y=4x-\frac{1}{2}$

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Example Question #81 : Parallel Lines

Find the equation of a line parallel to:

y=-9x+22

Possible Answers:

y=9x-1

$y=\frac{1}{9}x+2$

y=-9x+4

$y=-\frac{1}{9}x-2$

Correct answer:

y=-9x+4

Explanation:

Lines that are parallel have the same slope. Lines can be written in the slope-intercept form:

y=mx+b

In this equation, equals the slope and represents the y-intercept.

In the given equation:

m=-9

Only one of the choices has a slope of :

y=-9x+4

Report an Error

Example Question #82 : Parallel Lines

Find the equation of a line parallel to:

$y=-\frac{5}{6}x+2$

Possible Answers:

$y=\frac{6}{5}x-12$

$y=-\frac{5}{6}x-100$

$y=\frac{5}{6}x+2$

$y=-\frac{6}{5}x+100$

Correct answer:

$y=-\frac{5}{6}x-100$

Explanation:

Lines that are parallel have the same slope. Lines can be written in the slope-intercept form:

y=mx+b

In this equation, equals the slope and represents the y-intercept.

In the given equation:

$m=-\frac{5}{6}$

Only one of the choices has a slope of $-\frac{5}{6}$ :

$y=-\frac{5}{6}x-100$

Report an Error

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Algebra 1 : Parallel Lines

Study concepts, example questions & explanations for Algebra 1

All Algebra 1 Resources

Example Questions

Example Question #33 : How To Find Out If Lines Are Parallel

Example Question #34 : How To Find Out If Lines Are Parallel

Example Question #35 : How To Find Out If Lines Are Parallel

Example Question #36 : How To Find Out If Lines Are Parallel

Example Question #37 : How To Find Out If Lines Are Parallel

Example Question #38 : How To Find Out If Lines Are Parallel

Example Question #39 : How To Find Out If Lines Are Parallel

Example Question #40 : How To Find Out If Lines Are Parallel

Example Question #81 : Parallel Lines

Example Question #82 : Parallel Lines

All Algebra 1 Resources

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