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Algebra 1 : How to find the slope of parallel lines

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Example Question #31 : Parallel Lines

Find the slope of a line parallel to the line with the equation:

y=-9x+21

Possible Answers:

$-\frac{1}{9}$

$\frac{1}{9}$

Correct answer:

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:

y=-9x+21

And it has a slope of:

m=-9

Parallel lines share the same slope.

The parallel line has a slope of .

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Example Question #32 : Parallel Lines

Find the slope of a line parallel to the line with the equation:

y=-6x+22

Possible Answers:

$-\frac{1}{6}$

$\frac{1}{6}$

Correct answer:

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:

y=-6x+22

And it has a slope of:

m=-6

Parallel lines share the same slope.

The parallel line has a slope of .

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Example Question #33 : Parallel Lines

Find the slope of a line parallel to the line with the equation:

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

Possible Answers:

$-\frac{3}{8}$

$\frac{8}{3}$

$\frac{3}{8}$

Correct answer:

$\frac{3}{8}$

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:

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

And it has a slope of:

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

Parallel lines share the same slope.

The parallel line has a slope of $\frac{3}{8}$ .

Report an Error

Example Question #34 : Parallel Lines

Find the slope of a line parallel to the line with the equation:

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

Possible Answers:

$\frac{6}{5}$

$-\frac{5}{6}$

$\frac{5}{6}$

Correct answer:

$\frac{5}{6}$

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.

In the given equation:

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

And it has a slope of:

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

Parallel lines share the same slope.

The parallel line has a slope of $\frac{5}{6}$ .

Report an Error

Example Question #35 : Parallel Lines

Find the slope of a line parallel to the line with the equation:

$y=\frac{2}{11}x-\frac{1}{4}$

Possible Answers:

$\frac{11}{2}$

$\frac{2}{11}$

$-\frac{2}{11}$

Correct answer:

$\frac{2}{11}$

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:

$y=\frac{2}{11}x-\frac{1}{4}$

And it has a slope of:

$m=\frac{2}{11}$

Parallel lines share the same slope.

The parallel line has a slope of $\frac{2}{11}$ .

Report an Error

Example Question #36 : Parallel Lines

Find the slope of a line parallel to the line with the equation:

$y=-\frac{8}{13}x+10$

Possible Answers:

$\frac{13}{8}$

$-\frac{8}{13}$

$-\frac{13}{8}$

$\frac{8}{13}$

Correct answer:

$-\frac{8}{13}$

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:

$y=-\frac{8}{13}x+10$

And it has a slope of:

$m=-\frac{8}{13}$

Parallel lines share the same slope.

The parallel line has a slope of $-\frac{8}{13}$ .

Report an Error

Example Question #37 : Parallel Lines

Find the slope of a line parallel to the line with the equation:

$y=\frac{12}{17}x-123$

Possible Answers:

$\frac{12}{17}$

123

$-\frac{12}{17}$

$\frac{17}{12}$

Correct answer:

$\frac{12}{17}$

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:

$y=\frac{12}{17}x-123$

And it has a slope of:

$m=\frac{12}{17}$

Parallel lines share the same slope.

The parallel line has a slope of $\frac{12}{17}$ .

Report an Error

Example Question #38 : Parallel Lines

Find the slope of a line parallel to the line with the equation:

y=-12x-12

Possible Answers:

$\frac{1}{12}$

Correct answer:

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:

y=-12x-12

And it has a slope of:

m=-12

Parallel lines share the same slope.

The parallel line has a slope of .

Report an Error

Example Question #41 : Parallel Lines

If line X is parallel to line A with a slope of $\frac{7}{2}$ and a y-intercept of , what is the slope of line X?

Possible Answers:

$\small -\frac{3}{4}$

$\small -\frac{2}{7}$

$\small \frac{7}{2}$

$\small -\frac{7}{2}$

Not enough information

Correct answer:

$\small \frac{7}{2}$

Explanation:

By definition, lines are parallel if they have the same slope.

The problem states that line A has a slope of $\small \frac{7}{2}$ and that line X is parallel to it.

This means that line X must also have a slope of $\small \frac{7}{2}$ .

The y-intercept is not a determinant of lines being parallel or perpendicular.

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Example Question #42 : Parallel Lines

If a line is parallel to the line x+3y = 1 , what must be the slope of the other line?

Possible Answers:

$\frac{1}{3}$

$\frac{1}{2}$

$-\frac{1}{3}$

Correct answer:

$-\frac{1}{3}$

Explanation:

If a line is parallel to another line, they will never intersect. This means that their slopes will be the same.

The equation given is in standard form. Convert the equation to slope intercept form, y=mx+b , in order to determine the slope .

Subtract on both sides.

x+3y -x= 1-x

Simplify and reorganize the terms.

3y = -x+1

Divide by three on both sides.

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

Simplify both sides.

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

The slope of the parallel line must be $-\frac{1}{3}$ .

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Algebra 1 : How to find the slope of parallel lines

Study concepts, example questions & explanations for Algebra 1

All Algebra 1 Resources

Example Questions

Example Question #31 : Parallel Lines

Example Question #32 : Parallel Lines

Example Question #33 : Parallel Lines

Example Question #34 : Parallel Lines

Example Question #35 : Parallel Lines

Example Question #36 : Parallel Lines

Example Question #37 : Parallel Lines

Example Question #38 : Parallel Lines

Example Question #41 : Parallel Lines

Example Question #42 : Parallel Lines

All Algebra 1 Resources

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