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Algebra 1 : How to find out if lines are parallel

Study concepts, example questions & explanations for Algebra 1

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Example Questions

Example Question #4053 : Algebra 1

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

y=-199x-12

Possible Answers:

y=199

y=199x-40

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

y=-199x+15

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

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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+9

y=-5x-1

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

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

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

Example Question #101 : Parallel Lines

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

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

Possible Answers:

$y=-\frac{1}{12}x-7$

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

y=-12x-2

$y=\frac{1}{12}$

Correct answer:

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

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:

$m=\frac{1}{12}$

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

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

Report an Error

Example Question #4054 : Algebra 1

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

y=10x-2

Possible Answers:

y=x

y=-10x-2

y=10x+12

y=10

Correct answer:

y=10x+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=10

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

y=10x-2

Report an Error

Example Question #54 : How To Find Out If Lines Are Parallel

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

$y=\frac{7}{8}x+\frac{5}{6}$

Possible Answers:

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

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

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

$y=\frac{5}{6}x+\frac{7}{8}$

Correct answer:

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

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:

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

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

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

Report an Error

Example Question #53 : How To Find Out If Lines Are Parallel

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

$y=\frac{2}{3}x+15$

Possible Answers:

$y=-\frac{2}{3}x+9$

$y=\frac{2}{3}x-\frac{4}{5}$

$y=\frac{2}{3}$

$y=\frac{4}{5}x-2$

Correct answer:

$y=\frac{2}{3}x-\frac{4}{5}$

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:

$m=\frac{2}{3}$

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

$y=\frac{2}{3}x-\frac{4}{5}$

Report an Error

Example Question #528 : Equations Of Lines

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

$y=-\frac{8}{9}x-8$

Possible Answers:

$y=\frac{9}{8}x-2$

$y=\frac{8}{9}x+9$

$y=-\frac{8}{9}x-\frac{1}{8}$

$y=\frac{8}{9}$

Correct answer:

$y=-\frac{8}{9}x-\frac{1}{8}$

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:

$m=-\frac{8}{9}$

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

$y=-\frac{8}{9}x-\frac{1}{8}$

Report an Error

Example Question #531 : Equations Of Lines

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

$y=\frac{5}{6}x-21$

Possible Answers:

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

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

$y=\frac{5}{6}$

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

Correct answer:

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

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:

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

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

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

Report an Error

Example Question #531 : Equations Of Lines

Find a line parallel to the line with the equation:

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

Possible Answers:

$y=\frac{4}{5}x+12$

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

$y=\frac{5}{4}x+3$

$y=\frac{4}{5}$

Correct answer:

$y=\frac{4}{5}x+12$

Explanation:

Lines can be written in the slope-intercept format:

y=mx+b

In this format, equals the line's slope and represents where the line intercepts the y-axis.

In the given equation:

$m=\frac{4}{5}$

Parallel lines share the same slope.

Only one of the choices has a slope of $\frac{4}{5}$ .

$y=\frac{4}{5}x+12$

Report an Error

Example Question #532 : Equations Of Lines

Find a line parallel to the line with the equation:

$y=\frac{1}{4}x-6$

Possible Answers:

y=4x+5

$y=-6x+\frac{1}{4}$

$y=\frac{1}{4}x+9$

$y=-\frac{1}{4}x-6$

Correct answer:

$y=\frac{1}{4}x+9$

Explanation:

Lines can be written in the slope-intercept format:

y=mx+b

In this format, equals the line's slope and represents where the line intercepts the y-axis.

In the given equation:

$m=\frac{1}{4}$

Parallel lines share the same slope.

Only one of the choices has a slope of $\frac{1}{4}$ .

$y=\frac{1}{4}x+9$

Report an Error

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Algebra 1 : How to find out if lines are parallel

Study concepts, example questions & explanations for Algebra 1

All Algebra 1 Resources

Example Questions

Example Question #4053 : Algebra 1

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

Example Question #101 : Parallel Lines

Example Question #4054 : Algebra 1

Example Question #54 : How To Find Out If Lines Are Parallel

Example Question #53 : How To Find Out If Lines Are Parallel

Example Question #528 : Equations Of Lines

Example Question #531 : Equations Of Lines

Example Question #531 : Equations Of Lines

Example Question #532 : Equations Of Lines

All Algebra 1 Resources

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