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Algebra 1 : Functions and 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 #144 : Slope And Line Equations

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

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

Possible Answers:

$\frac{1}{3}$

$\frac{5}{6}$

$\frac{6}{5}$

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.

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

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

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Example Question #145 : Slope And Line Equations

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.

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

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Example Question #146 : Slope And Line Equations

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

(8, 0) and (5, 7)

Possible Answers:

$\frac{2}{5}$

$\frac{3}{7}$

$-\frac{7}{3}$

$\frac{7}{13}$

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.

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

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Example Question #147 : Slope And Line Equations

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

(12, 1) and (11, 0)

Possible Answers:

$\frac{1}{11}$

$-\frac{13}{2}$

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,

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

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

Simplify.

$\text{Slope}=1$

Report an Error

Example Question #148 : Slope And Line Equations

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

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

Possible Answers:

$\frac{1}{8}$

$\frac{5}{8}$

$-\frac{2}{3}$

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

Example Question #149 : Slope And Line Equations

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

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

Possible Answers:

$\frac{5}{6}$

$\text{Undefined}$

$\frac{11}{5}$

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 #81 : How To Find Slope Of A Line

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

(5, 7) and (6, 9)

Possible Answers:

$\frac{1}{2}$

$\frac{2}{5}$

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.

$\text{Slope}=2$

Report an Error

Example Question #82 : How To Find Slope Of A Line

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

(6, 8) and (10, 8)

Possible Answers:

$\text{Undefined}$

$-\frac{6}{7}$

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,

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

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

Simplify.

$\text{Slope}=0$

Report an Error

Example Question #83 : How To Find Slope Of A Line

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

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

Possible Answers:

$\frac{1}{3}$

$-\frac{13}{11}$

$-\frac{17}{7}$

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 #81 : How To Find Slope Of A Line

Find the slope of the line that passes through the points

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

Possible Answers:

$-\frac{1}{21}$

$\frac{17}{11}$

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

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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 #144 : Slope And Line Equations

Example Question #145 : Slope And Line Equations

Example Question #146 : Slope And Line Equations

Example Question #147 : Slope And Line Equations

Example Question #148 : Slope And Line Equations

Example Question #149 : Slope And Line Equations

Example Question #81 : How To Find Slope Of A Line

Example Question #82 : How To Find Slope Of A Line

Example Question #83 : How To Find Slope Of A Line

Example Question #81 : How To Find Slope Of A Line

All Algebra 1 Resources

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