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Algebra 1 : Functions and Lines

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Example Questions

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

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

$\displaystyle y=-10x+2$

Possible Answers:

$\displaystyle -10$

$\displaystyle 10$

$\frac{1}{10}$ $\displaystyle \frac{1}{10}$

$\displaystyle 1$

Correct answer:

$\displaystyle -10$

Explanation:

Lines can be written in the slope-intercept format:

y=mx+b $\displaystyle y=mx+b$

In this format, $\displaystyle m$ equals the line's slope and $\displaystyle b$ represents where the line intercepts the y-axis.

In the given equation:

$\displaystyle y=-10x+2$

And it has a slope of:

m=-10 $\displaystyle m=-10$

Parallel lines share the same slope.

The parallel line has a slope of $\displaystyle -10$.

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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:

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

Possible Answers:

$\displaystyle -5$

$\displaystyle 2$

$\frac{1}{2}$ $\displaystyle \frac{1}{2}$

$-\frac{1}{2}$ $\displaystyle -\frac{1}{2}$

Correct answer:

$\frac{1}{2}$ $\displaystyle \frac{1}{2}$

Explanation:

Lines can be written in the slope-intercept format:

y=mx+b $\displaystyle y=mx+b$

In this format, $\displaystyle m$ equals the line's slope and $\displaystyle b$ represents where the line intercepts the y-axis.

In the given equation:

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

And it has a slope of:

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

Parallel lines share the same slope.

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

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Example Question #701 : Functions And Lines

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

$\displaystyle y=-9x+21$

Possible Answers:

$-\frac{1}{9}$ $\displaystyle -\frac{1}{9}$

$\frac{1}{9}$ $\displaystyle \frac{1}{9}$

$\displaystyle 9$

$\displaystyle -9$

Correct answer:

$\displaystyle -9$

Explanation:

Lines can be written in the slope-intercept format:

y=mx+b $\displaystyle y=mx+b$

In this format, $\displaystyle m$ equals the line's slope and $\displaystyle b$ represents where the line intercepts the y-axis.

In the given equation:

$\displaystyle y=-9x+21$

And it has a slope of:

m=-9 $\displaystyle m=-9$

Parallel lines share the same slope.

The parallel line has a slope of $\displaystyle -9$.

Report an Error

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

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

$\displaystyle y=-6x+22$

Possible Answers:

$\frac{1}{6}$ $\displaystyle \frac{1}{6}$

$\displaystyle 6$

$-\frac{1}{6}$ $\displaystyle -\frac{1}{6}$

$\displaystyle -6$

Correct answer:

$\displaystyle -6$

Explanation:

Lines can be written in the slope-intercept format:

y=mx+b $\displaystyle y=mx+b$

In this format, $\displaystyle m$ equals the line's slope and $\displaystyle b$ represents where the line intercepts the y-axis.

In the given equation:

$\displaystyle y=-6x+22$

And it has a slope of:

m=-6 $\displaystyle m=-6$

Parallel lines share the same slope.

The parallel line has a slope of $\displaystyle -6$.

Report an Error

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

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

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

Possible Answers:

$-\frac{3}{8}$ $\displaystyle -\frac{3}{8}$

$\frac{8}{3}$ $\displaystyle \frac{8}{3}$

$\frac{3}{8}$ $\displaystyle \frac{3}{8}$

$\displaystyle -3$

Correct answer:

$\frac{3}{8}$ $\displaystyle \frac{3}{8}$

Explanation:

Lines can be written in the slope-intercept format:

y=mx+b $\displaystyle y=mx+b$

In this format, $\displaystyle m$ equals the line's slope and $\displaystyle b$ represents where the line intercepts the y-axis.

In the given equation:

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

And it has a slope of:

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

Parallel lines share the same slope.

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

Report an Error

Example Question #3991 : Algebra 1

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

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

Possible Answers:

$\frac{5}{6}$ $\displaystyle \frac{5}{6}$

$\displaystyle -5$

$-\frac{5}{6}$ $\displaystyle -\frac{5}{6}$

$\frac{6}{5}$ $\displaystyle \frac{6}{5}$

Correct answer:

$\frac{5}{6}$ $\displaystyle \frac{5}{6}$

Explanation:

Lines can be written in the slope-intercept format:

y=mx+b $\displaystyle y=mx+b$

In this format, $\displaystyle m$ equals the line's slope and $\displaystyle b$ represents where the line intercepts the y-axis.

In the given equation:

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

And it has a slope of:

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

Parallel lines share the same slope.

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

Report an Error

Example Question #701 : Functions And Lines

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

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

Possible Answers:

$\displaystyle 11$

$\frac{11}{2}$ $\displaystyle \frac{11}{2}$

$-\frac{2}{11}$ $\displaystyle -\frac{2}{11}$

$\frac{2}{11}$ $\displaystyle \frac{2}{11}$

Correct answer:

$\frac{2}{11}$ $\displaystyle \frac{2}{11}$

Explanation:

Lines can be written in the slope-intercept format:

y=mx+b $\displaystyle y=mx+b$

In this format, $\displaystyle m$ equals the line's slope and $\displaystyle b$ represents where the line intercepts the y-axis.

In the given equation:

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

And it has a slope of:

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

Parallel lines share the same slope.

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

Report an Error

Example Question #706 : Functions And Lines

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

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

Possible Answers:

$-\frac{13}{8}$ $\displaystyle -\frac{13}{8}$

$-\frac{8}{13}$ $\displaystyle -\frac{8}{13}$

$\frac{13}{8}$ $\displaystyle \frac{13}{8}$

$\frac{8}{13}$ $\displaystyle \frac{8}{13}$

Correct answer:

$-\frac{8}{13}$ $\displaystyle -\frac{8}{13}$

Explanation:

Lines can be written in the slope-intercept format:

y=mx+b $\displaystyle y=mx+b$

In this format, $\displaystyle m$ equals the line's slope and $\displaystyle b$ represents where the line intercepts the y-axis.

In the given equation:

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

And it has a slope of:

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

Parallel lines share the same slope.

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

Report an Error

Example Question #707 : Functions And Lines

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

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

Possible Answers:

$-\frac{12}{17}$ $\displaystyle -\frac{12}{17}$

$\frac{17}{12}$ $\displaystyle \frac{17}{12}$

123 $\displaystyle 123$

$\frac{12}{17}$ $\displaystyle \frac{12}{17}$

Correct answer:

$\frac{12}{17}$ $\displaystyle \frac{12}{17}$

Explanation:

Lines can be written in the slope-intercept format:

y=mx+b $\displaystyle y=mx+b$

In this format, $\displaystyle m$ equals the line's slope and $\displaystyle b$ represents where the line intercepts the y-axis.

In the given equation:

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

And it has a slope of:

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

Parallel lines share the same slope.

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

Report an Error

Example Question #3995 : Algebra 1

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

$\displaystyle y=-12x-12$

Possible Answers:

$\displaystyle 2$

$\displaystyle -12$

$\displaystyle 12$

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

Correct answer:

$\displaystyle -12$

Explanation:

Lines can be written in the slope-intercept format:

y=mx+b $\displaystyle y=mx+b$

In this format, $\displaystyle m$ equals the line's slope and $\displaystyle b$ represents where the line intercepts the y-axis.

In the given equation:

$\displaystyle y=-12x-12$

And it has a slope of:

m=-12 $\displaystyle m=-12$

Parallel lines share the same slope.

The parallel line has a slope of $\displaystyle -12$.

Report an Error

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Algebra 1 : Functions and 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 #701 : Functions And 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 #3991 : Algebra 1

Example Question #701 : Functions And Lines

Example Question #706 : Functions And Lines

Example Question #707 : Functions And Lines

Example Question #3995 : Algebra 1

All Algebra 1 Resources

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