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Algebra 1 : How to find the slope of parallel lines

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Example Question #41 : Parallel Lines

What is the slope of a line that is parallel to y=2x+19 ?

Possible Answers:

$-\frac{1}{2}$

Correct answer:

Explanation:

To find the slope of a line parallel to any equation, the slopes will always be the same. We need to ensure we have y=mx+b form. stands for slope. In this case, m=2 which is also our answer.

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Example Question #22 : How To Find The Slope Of Parallel Lines

What is the slope of a line that is parallel to -7y-12x=13 ?

Possible Answers:

$\frac{12}{7}$

$-\frac{7}{12}$

$\frac{1}{7}$

Correct answer:

$\frac{12}{7}$

Explanation:

When finding the slope of a parallel line, we need to ensure we have y=mx+b form.

-7y-12x=13

We need to solve for .

By adding 12x both sides and dividing on both sides, we get $y=\frac{13+12x}{-7}$ stands for slope.

Our is $-\frac{12}{7}$ which is also the slope of the parallel line.

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Example Question #23 : How To Find The Slope Of Parallel Lines

What is the slope of a line that is parallel to 6x+8y=14?

Possible Answers:

$-\frac{1}{6}$

$\frac{3}{4}$

$\frac{4}{3}$

$-\frac{3}{4}$

Correct answer:

$-\frac{3}{4}$

Explanation:

When finding the slope of a parallel line, we need to ensure we have y=mx+b form.

6x+8y=14

We need to solve for .

By subtracting both sides and dividing on both sides, we get

$y=\frac{14-6x}{8}$

Recall that stands for slope.

Our is $-\frac{6}{8}$ or $-\frac{3}{4}$ which is also the slope of the parallel line.

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Example Question #24 : How To Find The Slope Of Parallel Lines

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

y=9+3x

Possible Answers:

Correct answer:

Explanation:

When finding the slope of a parallel line, the slope will be the same as the other equation given.

In order to determine the slope from an equation we need to make sure that it is written in the following format:

y=mx+b

If the equation of a line is written in the slope-intercept form, then is slope and is the y-intercept.

In this case, the slop is m=3 . This is also the slope of the parallel line.

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Example Question #25 : How To Find The Slope Of Parallel Lines

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

6x+9y=25

Possible Answers:

$\frac{2}{3}$

$-\frac{3}{2}$

$-\frac{2}{3}$

Correct answer:

$-\frac{2}{3}$

Explanation:

When finding the slope of a parallel line, the slope will be the same as the other equation given.

In order to determine the slope from an equation we need to make sure that it is written in the following format:

y=mx+b

If the equation of a line is written in the slope-intercept form, then is slope and is the y-intercept.

In this case, we need to convert the equation into slope-intercept form.

6x+9y=25

Subtract from both sides.

9y=25-6x

Divide both sides by .

$y=\frac{25-6x}{9}$

Rewrite.

$y=-\frac{6}{9}x+\frac{25}{6}$

Identify the slope.

The slope is $-\frac{6}{9}$ or $-\frac{2}{3}$ . This is also the slope of the parallel line.

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Example Question #26 : How To Find The Slope Of Parallel Lines

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

x+8=7y

Possible Answers:

$\frac{1}{7}$

$\frac{1}{8}$

Correct answer:

$\frac{1}{7}$

Explanation:

When finding the slope of a parallel line, the slope will be the same as the other equation given.

In order to determine the slope from an equation we need to make sure that it is written in the following format:

y=mx+b

If the equation of a line is written in the slope-intercept form, then is slope and is the y-intercept.

In this case, we need to convert the equation into slope-intercept form.

x+8=7y

Divide both sides by .

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

Identify the slope.

The slope is $\frac{1}{7}$ . This is also the slope of the parallel line.

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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 #41 : Parallel Lines

Example Question #22 : How To Find The Slope Of Parallel Lines

Example Question #23 : How To Find The Slope Of Parallel Lines

Example Question #24 : How To Find The Slope Of Parallel Lines

Example Question #25 : How To Find The Slope Of Parallel Lines

Example Question #26 : How To Find The Slope Of Parallel Lines

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