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Algebra 1 : Equations of Lines

Study concepts, example questions & explanations for Algebra 1

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Example Questions

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 :

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

Report an Error

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

Find the equation of a line parallel to:

y=-9x+22

Possible Answers:

y=-9x+4

y=9x-1

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

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

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 #751 : Functions And Lines

Find the equation of a line parallel to:

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

Possible Answers:

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

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

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

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

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

Example Question #511 : Equations Of Lines

Find the equation of a line parallel to:

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

Possible Answers:

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

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

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

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

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 #4041 : Algebra 1

Find the equation of a line parallel to:

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

Possible Answers:

y=-10x-2

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

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

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

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 #91 : Parallel Lines

Find the equation of a line parallel to:

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

Possible Answers:

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

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

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

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

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 #511 : Equations Of Lines

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

y=20x-2

Possible Answers:

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

y=20x+12

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

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Algebra 1 : Equations of Lines

Study concepts, example questions & explanations for Algebra 1

All Algebra 1 Resources

Example Questions

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 #41 : How To Find Out If Lines Are Parallel

Example Question #751 : Functions And Lines

Example Question #511 : Equations Of Lines

Example Question #4041 : Algebra 1

Example Question #91 : Parallel Lines

Example Question #4041 : Algebra 1

Example Question #511 : Equations Of Lines

All Algebra 1 Resources

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