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Algebra 1 : Functions and Lines

Study concepts, example questions & explanations for Algebra 1

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All Algebra 1 Resources

10 Diagnostic Tests 557 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #65 : How To Find Slope Of A Line

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

(4, 10) and (-4, -10)

Possible Answers:

$\frac{2}{5}$

$\frac{5}{2}$

Correct answer:

$\frac{5}{2}$

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:

$\text{Slope}=\frac{-10-10}{-4-4}$

Simplify.

$\text{Slope}=\frac{-20}{-8}$

Reduce.

$\text{Slope}=\frac{5}{2}$

Report an Error

Example Question #66 : How To Find Slope Of A Line

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

(8, 0) and (8, 7)

Possible Answers:

$\frac{7}{16}$

$\text{Undefined}$

Correct answer:

$\text{Undefined}$

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:

$\text{Slope}=\frac{7-0}{8-8}$

Simplify.

$\text{Slope}=\frac{7}{0}$

Since you can't divide by , the slope of this vertical line is undefined.

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Example Question #3751 : Algebra 1

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

(0. 9) and (12, 9)

Possible Answers:

$\text{Undefined}$

$\frac{3}{2}$

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:

$\text{Slope}=\frac{9-9}{12-0}$

Simplify.

$\text{Slope}=\frac{0}{12}$

Reduce.

$\text{Slope}=0$

Report an Error

Example Question #3751 : Algebra 1

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

(17, 1) and (20, 2)

Possible Answers:

$-\frac{2}{3}$

$\frac{1}{3}$

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:

$\text{Slope}=\frac{2-1}{20-17}$

Simplify.

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

Report an Error

Example Question #69 : How To Find Slope Of A Line

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

(7, 8) and (9, 10)

Possible Answers:

$\frac{1}{2}$

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:

$\text{Slope}=\frac{10-8}{9-7}$

Simplify.

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

Reduce.

$\text{Slope}=1$

Report an Error

Example Question #70 : How To Find Slope Of A Line

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

(11, 9) and (5, 6)

Possible Answers:

$\frac{15}{16}$

$\frac{16}{5}$

$\frac{1}{2}$

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:

$\text{Slope}=\frac{6-9}{5-11}$

Simplify.

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

Reduce.

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

Report an Error

Example Question #71 : How To Find Slope Of A Line

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

(-7, 8) and (11, 2)

Possible Answers:

$\frac{4}{3}$

$-\frac{1}{3}$

$\frac{3}{4}$

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:

$\text{Slope}=\frac{2-8}{11-(-7)}$

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

$\text{Slope}=\frac{2-8}{11+7}$

Simplify.

$\text{Slope}=\frac{-6}{18}$

Reduce.

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

Report an Error

Example Question #141 : Slope And Line Equations

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

(-1, 5) and (5, -1)

Possible Answers:

$\frac{1}{5}$

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:

$\text{Slope}=\frac{-1-5}{5-(-1)}$

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

$\text{Slope}=\frac{-1-5}{5+1}$

Simplify.

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

Reduce.

$\text{Slope}=-1$

Report an Error

Example Question #142 : Slope And Line Equations

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

(-4, 3) and (3, 3)

Possible Answers:

$\text{Undefined}$

$\frac{7}{5}$

$\frac{6}{7}$

Correct answer:

Explanation:

Use the following formula to find the slope of the line:

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

Remember that points are written in the following format:

(x,y)

For this line,

$\text{Slope}=\frac{3-3}{3-(-4)}$

Subtracting a negative number is the same as adding a positive number.

$\text{Slope}=\frac{3-3}{3+4}$

$\text{Slope}=\frac{0}{7}$

Simplify.

$\text{Slope}=0$

Report an Error

Example Question #143 : Slope And Line Equations

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

(-1, 4) and (-2, -2)

Possible Answers:

$\frac{1}{6}$

$\frac{2}{3}$

Correct answer:

Explanation:

Use the following formula to find the slope of the line:

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

Remember that points are written in the following format:

(x,y)

For this line,

$\text{Slope}=\frac{-2-4}{-2-(-1)}$

Subtracting a negative number is the same as adding a positive number.

$\text{Slope}=\frac{-2-4}{-2+1}$

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

Simplify.

$\text{Slope}=6$

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 #65 : How To Find Slope Of A Line

Example Question #66 : How To Find Slope Of A Line

Example Question #3751 : Algebra 1

Example Question #3751 : Algebra 1

Example Question #69 : How To Find Slope Of A Line

Example Question #70 : How To Find Slope Of A Line

Example Question #71 : How To Find Slope Of A Line

Example Question #141 : Slope And Line Equations

Example Question #142 : Slope And Line Equations

Example Question #143 : Slope And Line Equations

All Algebra 1 Resources

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