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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 #42 : How To Find Out If Lines Are Parallel

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 #43 : 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=-9x-2 $\displaystyle y=-9x-2$

y=9 $\displaystyle y=9$

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

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 #44 : 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:

$\displaystyle y=12x+12$

$\displaystyle y=-12x-15$

y=12 $\displaystyle y=12$

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

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 #51 : How To Find Out If Lines Are Parallel

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

$\displaystyle y=-199x-12$

Possible Answers:

y=199 $\displaystyle y=199$

$\displaystyle y=199x-40$

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

$\displaystyle y=-199x+15$

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

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

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

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

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

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

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

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

Possible Answers:

$\displaystyle y=-12x-2$

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

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

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

Correct answer:

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

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:

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

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

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

Report an Error

Example Question #521 : Equations Of Lines

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

y=10x-2 $\displaystyle y=10x-2$

Possible Answers:

$\displaystyle y=10x+12$

$\displaystyle y=-10x-2$

y=x $\displaystyle y=x$

y=10 $\displaystyle y=10$

Correct answer:

$\displaystyle y=10x+12$

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=10 $\displaystyle m=10$

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

y=10x-2 $\displaystyle y=10x-2$

Report an Error

Example Question #55 : How To Find Out If Lines Are Parallel

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

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

Possible Answers:

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

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

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

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

Correct answer:

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

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:

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

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

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

Report an Error

Example Question #56 : How To Find Out If Lines Are Parallel

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

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

Possible Answers:

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

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

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

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

Correct answer:

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

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:

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

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

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

Report an Error

Example Question #57 : How To Find Out If Lines Are Parallel

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

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

Possible Answers:

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

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

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

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

Correct answer:

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

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:

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

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

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

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 #42 : How To Find Out If Lines Are Parallel

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

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

Example Question #51 : How To Find Out If Lines Are Parallel

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

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

Example Question #521 : Equations Of Lines

Example Question #55 : How To Find Out If Lines Are Parallel

Example Question #56 : How To Find Out If Lines Are Parallel

Example Question #57 : How To Find Out If Lines Are Parallel

All Algebra 1 Resources

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