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Algebra 1 : Parallel Lines

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Example Questions

Example Question #43 : How To Find Out If Lines Are Parallel

Find the equation of a line parallel to:

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

Possible Answers:

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

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

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

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

Correct answer:

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

Explanation:

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

y=mx+b $\displaystyle y=mx+b$

In this equation, $\displaystyle m$ equals the slope and $\displaystyle b$ represents the y-intercept.

In the given equation:

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

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

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

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

Find the equation of a line parallel to:

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

Possible Answers:

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

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

$\displaystyle y=-10x-2$

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

Correct answer:

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

Explanation:

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

y=mx+b $\displaystyle y=mx+b$

In this equation, $\displaystyle m$ equals the slope and $\displaystyle b$ represents the y-intercept.

In the given equation:

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

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

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

Report an Error

Example Question #44 : How To Find Out If Lines Are Parallel

Find the equation of a line parallel to:

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

Possible Answers:

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

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

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

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

Correct answer:

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

Explanation:

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

y=mx+b $\displaystyle y=mx+b$

In this equation, $\displaystyle m$ equals the slope and $\displaystyle b$ represents the y-intercept.

In the given equation:

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

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

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

Report an Error

Example Question #45 : How To Find Out If Lines Are Parallel

Find the equation of a line parallel to:

$\displaystyle y=-14x+2$

Possible Answers:

y=x+14 $\displaystyle y=x+14$

y=14x-2 $\displaystyle y=14x-2$

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

$\displaystyle y=-14x+23$

Correct answer:

$\displaystyle y=-14x+23$

Explanation:

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

y=mx+b $\displaystyle y=mx+b$

In this equation, $\displaystyle m$ equals the slope and $\displaystyle b$ represents the y-intercept.

In the given equation:

m=-14 $\displaystyle m=-14$

Only one of the choices has a slope of $\displaystyle -14$:

$\displaystyle y=-14x+23$

Report an Error

Example Question #91 : Parallel Lines

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

y=20x-2 $\displaystyle y=20x-2$

Possible Answers:

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

y=15x-2 $\displaystyle y=15x-2$

$\displaystyle y=20x+12$

$\displaystyle y=-20x-23$

Correct answer:

$\displaystyle y=20x+12$

Explanation:

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

y=mx+b $\displaystyle y=mx+b$

Lines that are parallel have the same slope.

The given line has a slope of:

m=20 $\displaystyle m=20$

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

$\displaystyle y=20x+12$

Report an Error

Example Question #4051 : Algebra 1

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

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

Possible Answers:

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

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

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

y=7x-14 $\displaystyle y=7x-14$

Correct answer:

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

Explanation:

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

y=mx+b $\displaystyle y=mx+b$

Lines that are parallel have the same slope.

The given line has a slope of:

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

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

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

Report an Error

Example Question #42 : How To Find Out If Lines Are Parallel

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

y=9x-6 $\displaystyle y=9x-6$

Possible Answers:

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

y=9 $\displaystyle y=9$

y=-9x-2 $\displaystyle y=-9x-2$

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

Correct answer:

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

Explanation:

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

y=mx+b $\displaystyle y=mx+b$

Lines that are parallel have the same slope.

The given line has a slope of:

m=9 $\displaystyle m=9$

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

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

Report an Error

Example Question #43 : How To Find Out If Lines Are Parallel

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

$\displaystyle y=12x-15$

Possible Answers:

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

y=12 $\displaystyle y=12$

$\displaystyle y=12x+12$

$\displaystyle y=-12x-15$

Correct answer:

$\displaystyle y=12x+12$

Explanation:

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

y=mx+b $\displaystyle y=mx+b$

Lines that are parallel have the same slope.

The given line has a slope of:

m=12 $\displaystyle m=12$

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

$\displaystyle y=12x+12$

Report an Error

Example Question #92 : Parallel Lines

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

$\displaystyle y=-199x-12$

Possible Answers:

y=199 $\displaystyle y=199$

$\displaystyle y=199x-40$

$\displaystyle y=-199x+15$

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

Correct answer:

$\displaystyle y=-199x+15$

Explanation:

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

y=mx+b $\displaystyle y=mx+b$

Lines that are parallel have the same slope.

The given line has a slope of:

m=-199 $\displaystyle m=-199$

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

$\displaystyle y=-199x+15$

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:

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

Possible Answers:

y=5x+9 $\displaystyle y=5x+9$

y=-5x-1 $\displaystyle y=-5x-1$

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

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

Correct answer:

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

Explanation:

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

y=mx+b $\displaystyle y=mx+b$

Lines that are parallel have the same slope.

The given line has a slope of:

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

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

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

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 #43 : How To Find Out If Lines Are Parallel

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

Example Question #44 : How To Find Out If Lines Are Parallel

Example Question #45 : How To Find Out If Lines Are Parallel

Example Question #91 : Parallel Lines

Example Question #4051 : Algebra 1

Example Question #42 : How To Find Out If Lines Are Parallel

Example Question #43 : How To Find Out If Lines Are Parallel

Example Question #92 : Parallel Lines

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

All Algebra 1 Resources

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