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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 #71 : How To Find Slope Of A Line

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

(-10, 12) and (-10, -10)

Possible Answers:

$\text{Undefined}$

$\frac{5}{6}$

$\frac{11}{5}$

Correct answer:

$\text{Undefined}$

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,

$\text{Slope}=\frac{-10-12}{-10-(-10)}$

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

$\text{Slope}=\frac{-10-12}{-10+10}$

$\text{Slope}=\frac{-22}{0}$

Since you cannot divide by , the slope of this vertical line is undefined.

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Example Question #241 : Equations Of Lines

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

(5, 7) and (6, 9)

Possible Answers:

$\frac{2}{5}$

$\frac{1}{2}$

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,

$\text{Slope}=\frac{9-7}{6-5}$

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

Simplify.

$\text{Slope}=2$

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Example Question #151 : Slope And Line Equations

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

(6, 8) and (10, 8)

Possible Answers:

$-\frac{6}{7}$

$\text{Undefined}$

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,

$\text{Slope}=\frac{8-8}{10-6}$

$\text{Slope}=\frac{0}{4}$

Simplify.

$\text{Slope}=0$

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Example Question #152 : Slope And Line Equations

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

(-1, -12) and (5, 6)

Possible Answers:

$-\frac{13}{11}$

$\frac{1}{3}$

$-\frac{17}{7}$

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,

$\text{Slope}=\frac{6-(-12)}{5-(-1)}$

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

$\text{Slope}=\frac{6+12}{5+1}$

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

Simplify.

$\text{Slope}=3$

Report an Error

Example Question #153 : Slope And Line Equations

Find the slope of the line that passes through the points

(-9, 3) and (12, 2)

Possible Answers:

$\frac{17}{11}$

$-\frac{1}{21}$

Correct answer:

$-\frac{1}{21}$

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,

$\text{Slope}=\frac{2-3}{12-(-9)}$

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

$\text{Slope}=\frac{2-3}{12+9}$

$\text{Slope}=\frac{-1}{21}$

Simplify.

$\text{Slope}=-\frac{1}{21}$

Report an Error

Example Question #154 : Slope And Line Equations

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

(-19, 12) and (0, 1)

Possible Answers:

$-\frac{12}{19}$

$-\frac{11}{19}$

$-\frac{19}{11}$

Correct answer:

$-\frac{11}{19}$

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,

$\text{Slope}=\frac{1-12}{0-(-19)}$

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

$\text{Slope}=\frac{1-12}{0+19}$

$\text{Slope}=\frac{-11}{19}$

Simplify.

$\text{Slope}=-\frac{11}{19}$

Report an Error

Example Question #155 : Slope And Line Equations

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

(-4, 13) and (5, 5)

Possible Answers:

$-\frac{9}{8}$

$-\frac{8}{9}$

$\frac{10}{9}$

Correct answer:

$-\frac{8}{9}$

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,

$\text{Slope}=\frac{5-13}{5-(-4)}$

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

$\text{Slope}=\frac{5-13}{5+4}$

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

Simplify.

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

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Example Question #156 : Slope And Line Equations

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

(11, 12) and (12, 13)

Possible Answers:

$\frac{1}{2}$

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,

$\text{Slope}=\frac{13-12}{12-11}$

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

Simplify.

$\text{Slope}=1$

Report an Error

Example Question #157 : Slope And Line Equations

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

(-5, 7) and (-5, 12)

Possible Answers:

$\text{Undefined}$

$\frac{10}{19}$

$-\frac{12}{17}$

Correct answer:

$\text{Undefined}$

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,

$\text{Slope}=\frac{12-7}{-5-(-5)}$

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

$\text{Slope}=\frac{12-7}{-5+5}$

$\text{Slope}=\frac{5}{0}$

Because you cannot divide by zero, the slope of the vertical line is undefined.

Report an Error

Example Question #158 : Slope And Line Equations

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

(19, 21) and (26, 35)

Possible Answers:

$\frac{1}{2}$

$\frac{7}{3}$

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,

$\text{Slope}=\frac{35-21}{26-19}$

$\text{Slope}=\frac{14}{7}$

Simplify.

$\text{Slope}=2$

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 #71 : How To Find Slope Of A Line

Example Question #241 : Equations Of Lines

Example Question #151 : Slope And Line Equations

Example Question #152 : Slope And Line Equations

Example Question #153 : Slope And Line Equations

Example Question #154 : Slope And Line Equations

Example Question #155 : Slope And Line Equations

Example Question #156 : Slope And Line Equations

Example Question #157 : Slope And Line Equations

Example Question #158 : Slope And Line Equations

All Algebra 1 Resources

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