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Algebra 1 : Equations of Lines

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Example Questions

Example Question #2 : How To Find The Slope Of Parallel Lines

Which equation described a line parallel to the line that connects points (–8,9) and (3,–4)?

Possible Answers:

$y=-\frac{1}{5}x-8$

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

$y=\frac{13}{11}x-4$

$y=-\frac{13}{11}x-11$

$y=\frac{11}{13}x-11$

Correct answer:

$y=-\frac{13}{11}x-11$

Explanation:

In order for two lines to be parellel, their slopes have to be the same.

Find the slope of the line connecting those two points using the general slope formula, $m=\frac{y_2-y_1}{x_2-x_1}$ , where the points are and . In our case, the points are (–8,9) and (3,–4). The slope is calculated below.

$m=\frac{-4-9}{3-(-8)}=-\frac{13}{11}$

Match this slope value with one of the possible choice of equations. The correct equation is $y=-\frac{13}{11}(x-11)$ because its slope is the same.

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Example Question #1 : How To Find The Slope Of Parallel Lines

Which of the following are NOT parallel to each other?

Possible Answers:

3x+6 = -2y

9x+6y=-1

3x+2y=-10

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

6-3x=2y

Correct answer:

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

Explanation:

Four of the answers are not in slope-intercept form.

For the lines to be parallel, all must share the same slopes.

To identify the slopes, this is the term of:

y=mx+b

The only equation that does not have a slope of $-\frac{3}{2}$ is

$y=-\frac{2}{3}x+4$ .

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Example Question #6 : How To Find The Slope Of Parallel Lines

Lines A and B are parallel. Line A can be represented by the equation y-3=6x .

Find the slope of line B.

Possible Answers:

$\frac{1}{2}$

Correct answer:

Explanation:

If two lines are parallel, then they have the same slope.

Line A is:

y-3=6x

Rewrite this in slope-intercept form where is the slope:

y=mx+b

y-3=6x

y=6x+3

The slope of line A is m=6 .

If the slope of line A is , then the slope of line B must be .

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Example Question #7 : How To Find The Slope Of Parallel Lines

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

y=2x-10

Possible Answers:

$\frac{1}{2}$

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=2x-10

And it has a slope of:

m=2

Parallel lines share the same slope.

The parallel line has a slope of .

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Example Question #2 : How To Find The Slope Of Parallel Lines

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

$y=\frac{3}{4}x-10$

Possible Answers:

$\frac{4}{3}$

$\frac{3}{4}$

Correct answer:

$\frac{3}{4}$

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:

$y=\frac{3}{4}x-10$

And it has a slope of:

$m=\frac{3}{4}$

Parallel lines share the same slope.

The parallel line has a slope of $\frac{3}{4}$ .

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Example Question #3 : How To Find The Slope Of Parallel Lines

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

y=-10x+2

Possible Answers:

$\frac{1}{10}$

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=-10x+2

And it has a slope of:

m=-10

Parallel lines share the same slope.

The parallel line has a slope of .

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Example Question #1 : How To Find The Slope Of Parallel Lines

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

$y=\frac{1}{2}x-5$

Possible Answers:

$\frac{1}{2}$

$-\frac{1}{2}$

Correct answer:

$\frac{1}{2}$

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.

In the given equation:

$y=\frac{1}{2}x-5$

And it has a slope of:

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

Parallel lines share the same slope.

The parallel line has a slope of $\frac{1}{2}$ .

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Example Question #11 : How To Find The Slope Of 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 #12 : How To Find The Slope Of 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 #13 : How To Find The Slope Of Parallel Lines

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

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

Possible Answers:

$\frac{8}{3}$

$\frac{3}{8}$

$-\frac{3}{8}$

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 $\frac{3}{8}$ .

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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 #2 : How To Find The Slope Of Parallel Lines

Example Question #1 : How To Find The Slope Of Parallel Lines

Example Question #6 : How To Find The Slope Of Parallel Lines

Example Question #7 : How To Find The Slope Of Parallel Lines

Example Question #2 : How To Find The Slope Of Parallel Lines

Example Question #3 : How To Find The Slope Of Parallel Lines

Example Question #1 : How To Find The Slope Of Parallel Lines

Example Question #11 : How To Find The Slope Of Parallel Lines

Example Question #12 : How To Find The Slope Of Parallel Lines

Example Question #13 : How To Find The Slope Of Parallel Lines

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