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Algebra 1 : Equations of Lines

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Example Questions

Example Question #3741 : Algebra 1

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

(0, 2) and (6, 5)

Possible Answers:

$\frac{1}{2}$

$-\frac{1}{2}$

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:

$\text{Slope}=\frac{5-2}{6-0}$

Simplify.

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

Reduce.

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

Report an Error

Example Question #51 : How To Find Slope Of A Line

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

(7, -1) and (10, 11)

Possible Answers:

$\frac{1}4$

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:

$\text{Slope}=\frac{11-(-1)}{10-7}$

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

$\text{Slope}=\frac{11+1}{10-7}$

Simplify.

$\text{Slope}=\frac{12}{3}$

Reduce.

$\text{Slope}=4$

Report an Error

Example Question #52 : How To Find Slope Of A Line

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

(-4, 1) and (5, 4)

Possible Answers:

$\frac{1}{3}$

$-\frac{1}{3}$

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:

$\text{Slope}=\frac{4-1}{5-(-4)}$

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

$\text{Slope}=\frac{4-1}{5+4}$

Simplify.

$\text{Slope}=\frac{3}{9}$

Reduce.

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

Report an Error

Example Question #53 : How To Find Slope Of A Line

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

(4, 4) and (5, 4)

Possible Answers:

$\frac{8}{9}$

$\frac{1}{8}$

$\text{Undefined}$

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:

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

Simplify.

$\text{Slope}=\frac{0}{1}$

Reduce.

$\text{Slope}=0$

Report an Error

Example Question #211 : Equations Of Lines

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

(0, 0) and (12, 12)

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:

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

Simplify.

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

Reduce.

$\text{Slope}=1$

Report an Error

Example Question #212 : Equations Of 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 #213 : Equations Of Lines

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 #3742 : Algebra 1

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

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

Possible Answers:

$\frac{1}{2}$

$\frac{1}{3}$

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:

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

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 #51 : How To Find Slope Of A Line

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 #53 : How To Find Slope Of A Line

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

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

Possible Answers:

$\frac{3}{2}$

$\frac{1}{2}$

$\text{Undefined}$

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:

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

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

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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 #3741 : Algebra 1

Example Question #51 : How To Find Slope Of A Line

Example Question #52 : How To Find Slope Of A Line

Example Question #53 : How To Find Slope Of A Line

Example Question #211 : Equations Of Lines

Example Question #212 : Equations Of Lines

Example Question #213 : Equations Of Lines

Example Question #3742 : Algebra 1

Example Question #51 : How To Find Slope Of A Line

Example Question #53 : How To Find Slope Of A Line

All Algebra 1 Resources

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