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Algebra 1 : Parallel Lines

Study concepts, example questions & explanations for Algebra 1

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Example Questions

Example Question #41 : How To Find Out If Lines Are Parallel

Find the equation of a line parallel to:

$y=-\frac{3}{8}x+102$

Possible Answers:

$y=102x-\frac{3}{8}$

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

$y=\frac{3}{8}x+123$

$y=\frac{8}{3}x-12$

Correct answer:

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

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:

$m=-\frac{3}{8}$

Only one of the choices has a slope of $-\frac{3}{8}$ :

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

Report an Error

Example Question #41 : How To Find Out If Lines Are Parallel

Find the equation of a line parallel to:

$y=-\frac{1}{10}x-2$

Possible Answers:

$y=-\frac{1}{10}x+55$

$y=2x-\frac{1}{10}$

y=-10x-2

$y=\frac{1}{10}x-20$

Correct answer:

$y=-\frac{1}{10}x+55$

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:

$m=-\frac{1}{10}$

Only one of the choices has a slope of $-\frac{1}{10}$ :

$y=-\frac{1}{10}x+55$

Report an Error

Example Question #511 : Equations Of Lines

Find the equation of a line parallel to:

$y=\frac{8}{7}x+21$

Possible Answers:

$y=\frac{8}{7}x-\frac{2}{3}$

$y=\frac{7}{8}x+12$

$y=-\frac{7}{8}x+16$

$y=-\frac{8}{7}x-\frac{1}{4}$

Correct answer:

$y=\frac{8}{7}x-\frac{2}{3}$

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:

$m=\frac{8}{7}$

Only one of the choices has a slope of $\frac{8}{7}$ :

$y=\frac{8}{7}x-\frac{2}{3}$

Report an Error

Example Question #4041 : Algebra 1

Find the equation of a line parallel to:

y=-14x+2

Possible Answers:

y=14x-2

y=-14x+23

y=x+14

$y=\frac{1}{14}x-2$

Correct answer:

y=-14x+23

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=-14

Only one of the choices has a slope of :

y=-14x+23

Report an Error

Example Question #41 : How To Find Out If Lines Are Parallel

Find a line parallel to the line that has the equation:

y=20x-2

Possible Answers:

y=20x+12

$y=-\frac{1}{20}x-2$

y=-20x-23

y=15x-2

Correct answer:

y=20x+12

Explanation:

Lines can be written using the slope-intercept equation format:

y=mx+b

Lines that are parallel have the same slope.

The given line has a slope of:

m=20

Only one of the choices also has the same slope and is the correct answer:

y=20x+12

Report an Error

Example Question #521 : Equations Of Lines

Find a line parallel to the line that has the equation:

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

Possible Answers:

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

y=7x-14

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

$y=-\frac{12}{7}x-12$

Correct answer:

$y=-\frac{12}{7}x-12$

Explanation:

Lines can be written using the slope-intercept equation format:

y=mx+b

Lines that are parallel have the same slope.

The given line has a slope of:

$m=-\frac{12}{7}$

Only one of the choices also has the same slope and is the correct answer:

$y=-\frac{12}{7}x-12$

Report an Error

Example Question #521 : Equations Of Lines

Find a line parallel to the line that has the equation:

y=9x-6

Possible Answers:

$y-\frac{1}{9}x+6$

y=-9x-2

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

y=9

Correct answer:

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

Explanation:

Lines can be written using the slope-intercept equation format:

y=mx+b

Lines that are parallel have the same slope.

The given line has a slope of:

m=9

Only one of the choices also has the same slope and is the correct answer:

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

Report an Error

Example Question #522 : Equations Of Lines

Find a line parallel to the line that has the equation:

y=12x-15

Possible Answers:

y=12x+12

y=-12x-15

y=12

$y=\frac{1}{12}x-2$

Correct answer:

y=12x+12

Explanation:

Lines can be written using the slope-intercept equation format:

y=mx+b

Lines that are parallel have the same slope.

The given line has a slope of:

m=12

Only one of the choices also has the same slope and is the correct answer:

y=12x+12

Report an Error

Example Question #523 : Equations Of Lines

Find a line parallel to the line that has the equation:

y=-199x-12

Possible Answers:

y=-199x+15

$y=\frac{1}{199}x-8$

y=199x-40

y=199

Correct answer:

y=-199x+15

Explanation:

Lines can be written using the slope-intercept equation format:

y=mx+b

Lines that are parallel have the same slope.

The given line has a slope of:

m=-199

Only one of the choices also has the same slope and is the correct answer:

y=-199x+15

Report an Error

Example Question #52 : How To Find Out If Lines Are Parallel

Find a line parallel to the line that has the equation:

$y=\frac{x}{5}+10$

Possible Answers:

y=-5x-1

$y=\frac{1}{5}x-4$

$y=\frac{1}{5}$

y=5x+9

Correct answer:

$y=\frac{1}{5}x-4$

Explanation:

Lines can be written using the slope-intercept equation format:

y=mx+b

Lines that are parallel have the same slope.

The given line has a slope of:

$m=\frac{1}{5}$

Only one of the choices also has the same slope and is the correct answer:

$y=\frac{1}{5}x-4$

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 #41 : How To Find Out If Lines Are Parallel

Example Question #41 : How To Find Out If Lines Are Parallel

Example Question #511 : Equations Of Lines

Example Question #4041 : Algebra 1

Example Question #41 : How To Find Out If Lines Are Parallel

Example Question #521 : Equations Of Lines

Example Question #521 : Equations Of Lines

Example Question #522 : Equations Of Lines

Example Question #523 : Equations Of Lines

Example Question #52 : How To Find Out If Lines Are Parallel

All Algebra 1 Resources

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