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Algebra 1 : Equations of Lines

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Example Questions

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 #221 : Equations Of Lines

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 #222 : Equations Of Lines

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 #223 : Equations Of Lines

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

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

Possible Answers:

$-\frac{13}{31}$

$\frac{17}{11}$

$\frac{11}{33}$

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 #224 : Equations Of Lines

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

Example Question #225 : Equations Of Lines

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

(4, 10) and (-4, -10)

Possible Answers:

$\frac{5}{2}$

$\frac{2}{5}$

Correct answer:

$\frac{5}{2}$

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:

$\text{Slope}=\frac{-10-10}{-4-4}$

Simplify.

$\text{Slope}=\frac{-20}{-8}$

Reduce.

$\text{Slope}=\frac{5}{2}$

Report an Error

Example Question #226 : Equations Of Lines

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

(8, 0) and (8, 7)

Possible Answers:

$\text{Undefined}$

$\frac{7}{16}$

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:

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

Simplify.

$\text{Slope}=\frac{7}{0}$

Since you can't divide by , the slope of this vertical line is undefined.

Report an Error

Example Question #227 : Equations Of Lines

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

(0. 9) and (12, 9)

Possible Answers:

$\frac{3}{2}$

$\text{Undefined}$

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:

$\text{Slope}=\frac{9-9}{12-0}$

Simplify.

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

Reduce.

$\text{Slope}=0$

Report an Error

Example Question #228 : Equations Of Lines

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

(17, 1) and (20, 2)

Possible Answers:

$\frac{1}{3}$

$-\frac{2}{3}$

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:

$\text{Slope}=\frac{2-1}{20-17}$

Simplify.

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

Report an Error

Example Question #229 : Equations Of Lines

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

(7, 8) and (9, 10)

Possible Answers:

$\frac{1}{2}$

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:

$\text{Slope}=\frac{10-8}{9-7}$

Simplify.

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

Reduce.

$\text{Slope}=1$

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 #129 : Slope And Line Equations

Example Question #221 : Equations Of Lines

Example Question #222 : Equations Of Lines

Example Question #223 : Equations Of Lines

Example Question #224 : Equations Of Lines

Example Question #225 : Equations Of Lines

Example Question #226 : Equations Of Lines

Example Question #227 : Equations Of Lines

Example Question #228 : Equations Of Lines

Example Question #229 : Equations Of Lines

All Algebra 1 Resources

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