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Algebra 1 : Equations of Lines

Study concepts, example questions & explanations for Algebra 1

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

Example Questions

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:

$\frac{16}{5}$

$\frac{15}{16}$

$\frac{1}{2}$

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 #471 : Functions And Lines

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

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

Possible Answers:

$\frac{3}{4}$

$-\frac{1}{3}$

$\frac{4}{3}$

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:

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

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 #231 : Equations Of Lines

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 #71 : How To Find Slope Of A Line

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

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

Possible Answers:

$\frac{6}{7}$

$\frac{7}{5}$

$\text{Undefined}$

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 #231 : Equations Of Lines

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

Example Question #232 : Equations Of Lines

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

(-1, 2) and (5, 7)

Possible Answers:

$\frac{6}{5}$

$\frac{1}{3}$

$\frac{5}{6}$

Correct answer:

$\frac{5}{6}$

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,

$\text{Slope}=\frac{7-2}{5-(-1)}$

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

$\text{Slope}=\frac{7-2}{5+1}$

$\text{Slope}=\frac{5}{6}$

Report an Error

Example Question #233 : Equations Of Lines

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

(7, 2) and (5, 1)

Possible Answers:

$\frac{1}{2}$

$-\frac{1}{3}$

Correct answer:

$\frac{1}{2}$

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,

$\text{Slope}=\frac{1-2}{5-7}$

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

Simplify.

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

Report an Error

Example Question #234 : Equations Of Lines

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

(8, 0) and (5, 7)

Possible Answers:

$-\frac{7}{3}$

$\frac{2}{5}$

$\frac{3}{7}$

$\frac{7}{13}$

Correct answer:

$-\frac{7}{3}$

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,

$\text{Slope}=\frac{7-0}{5-8}$

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

Simplify.

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

Report an Error

Example Question #3767 : Algebra 1

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

(12, 1) and (11, 0)

Possible Answers:

$-\frac{13}{2}$

$\frac{1}{11}$

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,

$\text{Slope}=\frac{0-1}{11-12}$

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

Simplify.

$\text{Slope}=1$

Report an Error

Example Question #145 : Slope And Line Equations

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

(-2, -2) and (-3, 6)

Possible Answers:

$\frac{5}{8}$

$\frac{1}{8}$

$-\frac{2}{3}$

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,

$\text{Slope}=\frac{6-(-2)}{-3-(-2)}$

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

$\text{Slope}=\frac{6+2}{-3+2}$

$\text{Slope}=\frac{8}{-1}$

Simplify.

$\text{Slope}=-8$

Report an Error

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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 #70 : How To Find Slope Of A Line

Example Question #471 : Functions And Lines

Example Question #231 : Equations Of Lines

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

Example Question #231 : Equations Of Lines

Example Question #232 : Equations Of Lines

Example Question #233 : Equations Of Lines

Example Question #234 : Equations Of Lines

Example Question #3767 : Algebra 1

Example Question #145 : Slope And Line Equations

All Algebra 1 Resources

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