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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 #461 : Functions And Lines

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

(5, 10) and (0, -5)

Possible Answers:

$-\frac{1}{3}$

$\frac{1}{3}$

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:

$\text{Slope}=\frac{-5-10}{0-5}$

Simplify.

$\text{Slope}=\frac{-15}{-5}$

Reduce.

$\text{Slope}=3$

Report an Error

Example Question #121 : Slope And Line Equations

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

(12, 9) and (-4, -6)

Possible Answers:

$-\frac{15}{16}$

$\frac{15}{16}$

$-\frac{16}{15}$

$\frac{16}{15}$

Correct answer:

$\frac{15}{16}$

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:

$\text{Slope}=\frac{-6-9}{-4-12}$

Simplify.

$\text{Slope}=\frac{-15}{-16}$

Reduce.

$\text{Slope}=\frac{15}{16}$

Report an Error

Example Question #126 : Slope And Line Equations

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

(-1, -2) and (-4, -3)

Possible Answers:

$\frac{1}{3}$

$\frac{1}{2}$

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:

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

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

$\text{Slope}=\frac{-3+2}{-4+1}$

Simplify.

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

Reduce.

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

Report an Error

Example Question #127 : Slope And Line Equations

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

(7, 7) and (11, 7)

Possible Answers:

$\text{Undefined}$

$\frac{2}{7}$

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:

$\text{Slope}=\frac{7-7}{11-7}$

Simplify.

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

Reduce.

$\text{Slope}=0$

Report an Error

Example Question #128 : Slope And Line Equations

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

(8, -4) and (8, 0)

Possible Answers:

$\frac{3}{2}$

$\text{Undefined}$

$\frac{1}{2}$

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:

$\text{Slope}=\frac{0-(-4)}{8-8}$

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

$\text{Slope}=\frac{0+4}{8-8}$

Simplify.

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

Since you cannot divide by , the slope of vertical lines are always undefined.

Report an Error

Example Question #129 : Slope And Line Equations

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

(-2, -4) and (10, 8)

Possible Answers:

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:

$\text{Slope}=\frac{8-(-4)}{10-(-2)}$

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

$\text{Slope}=\frac{8+4}{10+2}$

Simplify.

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

Reduce.

$\text{Slope}=1$

Report an Error

Example Question #130 : Slope And Line Equations

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

(1, 1) and (1, 7)

Possible Answers:

$\text{Undefined}$

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:

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

Simplify.

$\text{Slope}=\frac{6}{0}$

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

Report an Error

Example Question #131 : Slope And Line Equations

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

(2, 0) and (5, 27)

Possible Answers:

$\frac{1}{9}$

$\frac{29}{5}$

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:

$\text{Slope}=\frac{27-0}{5-2}$

Simplify.

$\text{Slope}=\frac{27}{3}$

Reduce.

$\text{Slope}=9$

Report an Error

Example Question #132 : Slope And Line Equations

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

(-6, -8) and (5, 25)

Possible Answers:

$\frac{11}{33}$

$\frac{17}{11}$

$-\frac{13}{31}$

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:

$\text{Slope}=\frac{25-(-8)}{5-(-6)}$

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

$\text{Slope}=\frac{25+8}{5+6}$

Simplify.

$\text{Slope}=\frac{33}{11}$

Reduce.

$\text{Slope}=3$

Report an Error

Example Question #133 : Slope And Line Equations

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

(-17, 21) and (-5, -3)

Possible Answers:

$\frac{2}{3}$

$-\frac{3}{2}$

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:

$\text{Slope}=\frac{-3-21}{-5-(-17)}$

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

$\text{Slope}=\frac{-3-21}{-5+17}$

Simplify.

$\text{Slope}=\frac{-24}{12}$

Reduce.

$\text{Slope}=-2$

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 #461 : Functions And Lines

Example Question #121 : Slope And Line Equations

Example Question #126 : Slope And Line Equations

Example Question #127 : Slope And Line Equations

Example Question #128 : Slope And Line Equations

Example Question #129 : Slope And Line Equations

Example Question #130 : Slope And Line Equations

Example Question #131 : Slope And Line Equations

Example Question #132 : Slope And Line Equations

Example Question #133 : Slope And Line Equations

All Algebra 1 Resources

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