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Algebra 1 : How to find slope of a line

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Example Questions

Example Question #3751 : Algebra 1

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

(1, 1) $\displaystyle (1, 1)$ and (1, 7) $\displaystyle (1, 7)$

Possible Answers:

$\displaystyle 0$

$\displaystyle 8$

$\displaystyle -6$

$\text{Undefined}$ $\displaystyle \text{Undefined}$

Correct answer:

$\text{Undefined}$ $\displaystyle \text{Undefined}$

Explanation:

Use the following formula to find the slope:

$\text{Slope}=\frac{y_2-y_1}{x_2-x_1}$ $\displaystyle \text{Slope}=\frac{y_2-y_1}{x_2-x_1}$

Remember that points are written in the following format:

(x,y) $\displaystyle (x,y)$

Substitute using the given points:

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

Simplify.

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

Since you cannot divide by $\displaystyle 0$ , the slope of this vertical line is undefined.

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Example Question #3752 : Algebra 1

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

(2, 0) $\displaystyle (2, 0)$ and (5, 27) $\displaystyle (5, 27)$

Possible Answers:

$\frac{29}{5}$ $\displaystyle \frac{29}{5}$

$\frac{1}{9}$ $\displaystyle \frac{1}{9}$

$\displaystyle 9$

$\displaystyle -9$

Correct answer:

$\displaystyle 9$

Explanation:

Use the following formula to find the slope:

$\text{Slope}=\frac{y_2-y_1}{x_2-x_1}$ $\displaystyle \text{Slope}=\frac{y_2-y_1}{x_2-x_1}$

Remember that points are written in the following format:

(x,y) $\displaystyle (x,y)$

Substitute using the given points:

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

Simplify.

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

Reduce.

$\text{Slope}=9$ $\displaystyle \text{Slope}=9$

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Example Question #3753 : Algebra 1

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

$\displaystyle (-6, -8)$ and (5, 25) $\displaystyle (5, 25)$

Possible Answers:

$\frac{17}{11}$ $\displaystyle \frac{17}{11}$

$-\frac{13}{31}$ $\displaystyle -\frac{13}{31}$

$\frac{11}{33}$ $\displaystyle \frac{11}{33}$

$\displaystyle 3$

Correct answer:

$\displaystyle 3$

Explanation:

Use the following formula to find the slope:

$\text{Slope}=\frac{y_2-y_1}{x_2-x_1}$ $\displaystyle \text{Slope}=\frac{y_2-y_1}{x_2-x_1}$

Remember that points are written in the following format:

(x,y) $\displaystyle (x,y)$

Substitute using the given points:

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

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

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

Simplify.

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

Reduce.

$\text{Slope}=3$ $\displaystyle \text{Slope}=3$

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Example Question #3754 : Algebra 1

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

$\displaystyle (-17, 21)$ and $\displaystyle (-5, -3)$

Possible Answers:

$\frac{2}{3}$ $\displaystyle \frac{2}{3}$

$\displaystyle -2$

$\displaystyle 3$

$-\frac{3}{2}$ $\displaystyle -\frac{3}{2}$

Correct answer:

$\displaystyle -2$

Explanation:

Use the following formula to find the slope:

$\text{Slope}=\frac{y_2-y_1}{x_2-x_1}$ $\displaystyle \text{Slope}=\frac{y_2-y_1}{x_2-x_1}$

Remember that points are written in the following format:

(x,y) $\displaystyle (x,y)$

Substitute using the given points:

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

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

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

Simplify.

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

Reduce.

$\text{Slope}=-2$ $\displaystyle \text{Slope}=-2$

Report an Error

Example Question #3755 : Algebra 1

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

(4, 10) $\displaystyle (4, 10)$ and $\displaystyle (-4, -10)$

Possible Answers:

$\frac{2}{5}$ $\displaystyle \frac{2}{5}$

$\displaystyle -1$

$\displaystyle 6$

$\frac{5}{2}$ $\displaystyle \frac{5}{2}$

Correct answer:

$\frac{5}{2}$ $\displaystyle \frac{5}{2}$

Explanation:

Use the following formula to find the slope:

$\text{Slope}=\frac{y_2-y_1}{x_2-x_1}$ $\displaystyle \text{Slope}=\frac{y_2-y_1}{x_2-x_1}$

Remember that points are written in the following format:

(x,y) $\displaystyle (x,y)$

Substitute using the given points:

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

Simplify.

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

Reduce.

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

Report an Error

Example Question #3756 : Algebra 1

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

(8, 0) $\displaystyle (8, 0)$ and (8, 7) $\displaystyle (8, 7)$

Possible Answers:

$\displaystyle 0$

$\displaystyle -7$

$\text{Undefined}$ $\displaystyle \text{Undefined}$

$\frac{7}{16}$ $\displaystyle \frac{7}{16}$

Correct answer:

$\text{Undefined}$ $\displaystyle \text{Undefined}$

Explanation:

Use the following formula to find the slope:

$\text{Slope}=\frac{y_2-y_1}{x_2-x_1}$ $\displaystyle \text{Slope}=\frac{y_2-y_1}{x_2-x_1}$

Remember that points are written in the following format:

(x,y) $\displaystyle (x,y)$

Substitute using the given points:

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

Simplify.

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

Since you can't divide by $\displaystyle 0$ , the slope of this vertical line is undefined.

Report an Error

Example Question #3757 : Algebra 1

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

(0. 9) $\displaystyle (0. 9)$ and (12, 9) $\displaystyle (12, 9)$

Possible Answers:

$\displaystyle 0$

$\displaystyle 6$

$\text{Undefined}$ $\displaystyle \text{Undefined}$

$\frac{3}{2}$ $\displaystyle \frac{3}{2}$

Correct answer:

$\displaystyle 0$

Explanation:

Use the following formula to find the slope:

$\text{Slope}=\frac{y_2-y_1}{x_2-x_1}$ $\displaystyle \text{Slope}=\frac{y_2-y_1}{x_2-x_1}$

Remember that points are written in the following format:

(x,y) $\displaystyle (x,y)$

Substitute using the given points:

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

Simplify.

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

Reduce.

$\text{Slope}=0$ $\displaystyle \text{Slope}=0$

Report an Error

Example Question #3758 : Algebra 1

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

(17, 1) $\displaystyle (17, 1)$ and (20, 2) $\displaystyle (20, 2)$

Possible Answers:

$\displaystyle 3$

$-\frac{2}{3}$ $\displaystyle -\frac{2}{3}$

$\displaystyle 1$

$\frac{1}{3}$ $\displaystyle \frac{1}{3}$

Correct answer:

$\frac{1}{3}$ $\displaystyle \frac{1}{3}$

Explanation:

Use the following formula to find the slope:

$\text{Slope}=\frac{y_2-y_1}{x_2-x_1}$ $\displaystyle \text{Slope}=\frac{y_2-y_1}{x_2-x_1}$

Remember that points are written in the following format:

(x,y) $\displaystyle (x,y)$

Substitute using the given points:

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

Simplify.

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

Report an Error

Example Question #3759 : Algebra 1

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

(7, 8) $\displaystyle (7, 8)$ and (9, 10) $\displaystyle (9, 10)$

Possible Answers:

$\displaystyle -1$

$\frac{1}{2}$ $\displaystyle \frac{1}{2}$

$\displaystyle 2$

$\displaystyle 1$

Correct answer:

$\displaystyle 1$

Explanation:

Use the following formula to find the slope:

$\text{Slope}=\frac{y_2-y_1}{x_2-x_1}$ $\displaystyle \text{Slope}=\frac{y_2-y_1}{x_2-x_1}$

Remember that points are written in the following format:

(x,y) $\displaystyle (x,y)$

Substitute using the given points:

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

Simplify.

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

Reduce.

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

Report an Error

Example Question #3761 : Algebra 1

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

(11, 9) $\displaystyle (11, 9)$ and (5, 6) $\displaystyle (5, 6)$

Possible Answers:

$\frac{16}{5}$ $\displaystyle \frac{16}{5}$

$\frac{1}{2}$ $\displaystyle \frac{1}{2}$

$\displaystyle -2$

$\frac{15}{16}$ $\displaystyle \frac{15}{16}$

Correct answer:

$\frac{1}{2}$ $\displaystyle \frac{1}{2}$

Explanation:

Use the following formula to find the slope:

$\text{Slope}=\frac{y_2-y_1}{x_2-x_1}$ $\displaystyle \text{Slope}=\frac{y_2-y_1}{x_2-x_1}$

Remember that points are written in the following format:

(x,y) $\displaystyle (x,y)$

Substitute using the given points:

$\text{Slope}=\frac{6-9}{5-11}$ $\displaystyle \text{Slope}=\frac{6-9}{5-11}$

Simplify.

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

Reduce.

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

Report an Error

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Algebra 1 : How to find slope of a line

Study concepts, example questions & explanations for Algebra 1

All Algebra 1 Resources

Example Questions

Example Question #3751 : Algebra 1

Example Question #3752 : Algebra 1

Example Question #3753 : Algebra 1

Example Question #3754 : Algebra 1

Example Question #3755 : Algebra 1

Example Question #3756 : Algebra 1

Example Question #3757 : Algebra 1

Example Question #3758 : Algebra 1

Example Question #3759 : Algebra 1

Example Question #3761 : Algebra 1

All Algebra 1 Resources

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