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Algebra 1 : Slope and Line Equations

Study concepts, example questions & explanations for Algebra 1

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Example Questions

Example Question #42 : How To Find Slope Of A Line

Find the slope of the line that goes through the following points: (7, 5), (2, 2)

Possible Answers:

$\frac{5}{3}$

$\frac{3}{5}$

$\frac{1}{7}$

Correct answer:

$\frac{3}{5}$

Explanation:

The slope of a line is given by the following equation:

$\text{Slope}=\frac{y_2-y_1}{x_2-x_1}$

For the line in question,

$\text{Slope}=\frac{2-5}{2-7}=\frac{-3}{-5}=\frac{3}{5}$

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Example Question #43 : How To Find Slope Of A Line

Find the slope of the line that goes through the following points: (0, 0), (-2, -1) .

Possible Answers:

$\frac{1}{2}$

$-\frac{1}{2}$

Correct answer:

$\frac{1}{2}$

Explanation:

The slope of a line is given by the following equation:

$\text{Slope}=\frac{y_2-y_1}{x_2-x_1}$

For the line in question,

$\text{Slope}=\frac{-1-0}{-2-0}=\frac{-1}{-2}=\frac{1}{2}$

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Example Question #44 : How To Find Slope Of A Line

Find the slope of the line that goes through the following points: (12, 7), (2, 7) .

Possible Answers:

$\text{Undefined}$

$-\frac{10}{3}$

$\frac{5}{9}$

Correct answer:

Explanation:

The slope of a line is given by the following equation:

$\text{Slope}=\frac{y_2-y_1}{x_2-x_1}$

For the line in question,

$\text{Slope}=\frac{7-7}{2-12}=0$

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Example Question #451 : Functions And Lines

Find the slope of the line that goes through the following points: (16, -2), (-2, 7) .

Possible Answers:

$-\frac{18}{5}$

$\frac{1}{2}$

$-\frac{1}{2}$

$\frac{9}{4}$

Correct answer:

$-\frac{1}{2}$

Explanation:

The slope of a line is given by the following equation:

$\text{Slope}=\frac{y_2-y_1}{x_2-x_1}$

For the line in question,

$\text{Slope}=\frac{7-(-2)}{-2-16}=-\frac{1}{2}$

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Example Question #452 : Functions And Lines

Find the slope of the line that goes through the following points: (1, 5), (7, -1) .

Possible Answers:

$\frac{1}{2}$

Correct answer:

Explanation:

The slope of a line is given by the following equation:

$\text{Slope}=\frac{y_2-y_1}{x_2-x_1}$

For the line in question,

$\text{Slope}=\frac{-1-5}{7-1}=\frac{-6}{6}=-1$

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Example Question #453 : Functions And Lines

Find the slope of the line that goes through the following points: $(\frac{1}{2}, 3), (\frac{5}{2}, 0)$ .

Possible Answers:

$-\frac{3}{4}$

$\frac{2}{3}$

$-\frac{3}{2}$

Correct answer:

$-\frac{3}{2}$

Explanation:

The slope of a line is given by the following equation:

$\text{Slope}=\frac{y_2-y_1}{x_2-x_1}$

For the line in question,

$\text{Slope}=\frac{0-3}{\frac{5}{2}-\frac{1}{2}}=-\frac{3}{2}$

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Example Question #454 : Functions And Lines

Find the slope of the line that goes through the following points: (-1, 6), (-7, 10) .

Possible Answers:

$\frac{3}{7}$

$-\frac{13}{9}$

$\frac{1}{2}$

$-\frac{2}{3}$

Correct answer:

$-\frac{2}{3}$

Explanation:

The slope of a line is given by the following equation:

$\text{Slope}=\frac{y_2-y_1}{x_2-x_1}$

For the line in question,

$\text{Slope}=\frac{10-6}{-7-(-1)}=\frac{4}{-6}=-\frac{2}{3}$

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Example Question #48 : How To Find Slope Of A Line

Find the slope of the line that passes through the following points:

(-5, 6) and (7, 2)

Possible Answers:

$\frac{1}{3}$

$-\frac{13}{3}$

$-\frac{1}{3}$

Correct answer:

$-\frac{1}{3}$

Explanation:

Use the following formula to find the slope:

$\text{Slope}=\frac{y_2-y_1}{x_2-x_1}$

Remember that points are written in the following format:

(x,y)

Substitute using the given points:

$\text{Slope}=\frac{2-6}{7-(-5)}$

Remember that subtracting a negative number is the same as adding a positive number.

$\text{Slope}=\frac{2-6}{7+5}$

Simplify.

$\text{Slope}=-\frac{4}{12}$

Reduce.

$\text{Slope}=-\frac{1}{3}$

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Example Question #3741 : Algebra 1

Find the slope of the line that passes through the following points:

(0, 2) and (6, 5)

Possible Answers:

$\frac{1}{2}$

$-\frac{1}{2}$

Correct answer:

$\frac{1}{2}$

Explanation:

Use the following formula to find the slope:

$\text{Slope}=\frac{y_2-y_1}{x_2-x_1}$

Remember that points are written in the following format:

(x,y)

Substitute using the given points:

$\text{Slope}=\frac{5-2}{6-0}$

Simplify.

$\text{Slope}=\frac{3}{6}$

Reduce.

$\text{Slope}=\frac{1}{2}$

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Example Question #51 : How To Find Slope Of A Line

Find the slope of the line that passes through the following points:

(7, -1) and (10, 11)

Possible Answers:

$\frac{1}4$

Correct answer:

Explanation:

Use the following formula to find the slope:

$\text{Slope}=\frac{y_2-y_1}{x_2-x_1}$

Remember that points are written in the following format:

(x,y)

Substitute using the given points:

$\text{Slope}=\frac{11-(-1)}{10-7}$

Remember that subtracting a negative number is the same as adding a positive number.

$\text{Slope}=\frac{11+1}{10-7}$

Simplify.

$\text{Slope}=\frac{12}{3}$

Reduce.

$\text{Slope}=4$

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Algebra 1 : Slope and Line Equations

Study concepts, example questions & explanations for Algebra 1

All Algebra 1 Resources

Example Questions

Example Question #42 : How To Find Slope Of A Line

Example Question #43 : How To Find Slope Of A Line

Example Question #44 : How To Find Slope Of A Line

Example Question #451 : Functions And Lines

Example Question #452 : Functions And Lines

Example Question #453 : Functions And Lines

Example Question #454 : Functions And Lines

Example Question #48 : How To Find Slope Of A Line

Example Question #3741 : Algebra 1

Example Question #51 : How To Find Slope Of A Line

All Algebra 1 Resources

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