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Algebra 1 : Equations of Lines

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Example Questions

Example Question #774 : Functions And Lines

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

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

Possible Answers:

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

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

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

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

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 #53 : How To Find Out If Lines Are Parallel

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 #54 : How To Find Out If Lines Are Parallel

Find a line parallel to the line with the equation:

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

Possible Answers:

y=4x+5

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

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

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

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

Example Question #531 : Equations Of Lines

Find a line parallel to the line with the equation:

y=-5x+7

Possible Answers:

y=5x+6

y=-5x-8

y=5x+8

$y=\frac{1}{5}x-3$

Correct answer:

y=-5x-8

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=-5

Parallel lines share the same slope.

Only one of the choices has a slope of .

y=-5x-8

Report an Error

Example Question #775 : Functions And Lines

Find a line parallel to the line with the equation:

y=-10x

Possible Answers:

y=10x-9

$x=\frac{1}{10}x+3$

y=-10x+9

y=10x+1

Correct answer:

y=-10x+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=-10

Parallel lines share the same slope.

Only one of the choices has a slope of .

y=-10x+9

Report an Error

Example Question #63 : How To Find Out If Lines Are Parallel

Find a line parallel to the line with the equation:

$y=-\frac{2}{13}x-9$

Possible Answers:

$y=\frac{2}{13}$

y=-2x-8

$y=\frac{2}{13}x+3$

$y=-\frac{2}{13}x+88$

Correct answer:

$y=-\frac{2}{13}x+88$

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:

$m=-\frac{2}{13}$

Parallel lines share the same slope.

Only one of the choices has a slope of $-\frac{2}{13}$ .

$y=-\frac{2}{13}x+88$

Report an Error

Example Question #64 : How To Find Out If Lines Are Parallel

Find a line parallel to the line with the equation:

y=50x-4

Possible Answers:

$y=\frac{1}{50}x+36$

$y=\frac{1}{50}x+50$

y=-50x+63

y=50x+50

Correct answer:

y=50x+50

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=50

Parallel lines share the same slope.

Only one of the choices has a slope of .

y=50x+50

Report an Error

Example Question #65 : How To Find Out If Lines Are Parallel

Find a line parallel to the line with the equation:

2y-4x=16

Possible Answers:

y=4x+3

y=2x+6

y=-2x+9

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

Correct answer:

y=2x+6

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.

First, put the given line in y=mx+b form.

2y-4x=16

We need to isolate on the left side of the equation. Add to both sides of the equation.

2y-4x+4x=16+4x

Simplify.

2y=16+4x

Divide both sides of the equation by .

$\frac{2y}{2}=\frac{16}{2}+\frac{4x}{2}$

Simplify.

y=8+2x

Rearrange terms to match the slope-intercept form.

y=2x+8

In the given equation:

m=2

Parallel lines share the same slope.

Only one of the choices has a slope of .

y=2x+6

Report an Error

Example Question #4061 : Algebra 1

Find a line parallel to the line with the equation:

16y-8x=11

Possible Answers:

y=8x+6

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

y=-16x+2

y=2x-8

Correct answer:

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

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.

First, put the given line in y=mx+b form.

16y-8x=11

We need to isolate on the left side of the equation. Add to both sides of the equation.

16y-8x+8x=11+8x

Simplify.

16y=11+8x

Divide both sides of the equation by .

$\frac{16y}{16}=\frac{11}{16}+\frac{8x}{16}$

Simplify.

$y=\frac{11}{16}+\frac{1}{2}x$

Rearrange terms to match the slope-intercept form.

$y=\frac{1}{2}x+\frac{11}{16}$

In the given equation:

$m=\frac{1}{2}$

Parallel lines share the same slope.

Only one of the choices has a slope of $\frac{1}{2}$ .

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

Report an Error

Example Question #64 : How To Find Out If Lines Are Parallel

Find a line parallel to the line with the equation:

4x-5y=10

Possible Answers:

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

$y=\frac{5}{4}x+6$

y=-5x+6

y=4x+10

Correct answer:

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

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.

First, put the given line in y=mx+b form.

4x-5y=10

We need to isolate on the left side of the equation. Subtract from both sides of the equation.

4x-4x-5y=10-4x

Simplify.

-5y=10-4x

Divide both sides of the equation by .

$\frac{-5y}{-5}=\frac{10}{-5}-\frac{4x}{-5}$

Simplify. Rember that when a positive number is divided by a negative number, the answer is always negative.

$y=(-2)-\left ( -\frac{4}{5}x\right )$

Subtracting a negative number is the same as adding a positive number. Rewrite.

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

Rearrange terms to match the slope-intercept form.

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

In the given equation:

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

Parallel lines share the same slope.

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

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

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 #774 : Functions And Lines

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

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

Example Question #531 : Equations Of Lines

Example Question #775 : Functions And Lines

Example Question #63 : How To Find Out If Lines Are Parallel

Example Question #64 : How To Find Out If Lines Are Parallel

Example Question #65 : How To Find Out If Lines Are Parallel

Example Question #4061 : Algebra 1

Example Question #64 : How To Find Out If Lines Are Parallel

All Algebra 1 Resources

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