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Algebra 1 : How to find slope of a line

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Example Questions

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

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

(7, -1) $\displaystyle (7, -1)$ and $\displaystyle (10, 11)$

Possible Answers:

$\displaystyle 4$

$\frac{1}4$ $\displaystyle \frac{1}4$

$\displaystyle 8$

$\displaystyle -4$

Correct answer:

$\displaystyle 4$

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:

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

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

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

Simplify.

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

Reduce.

$\text{Slope}=4$ $\displaystyle \text{Slope}=4$

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:

(-4, 1) $\displaystyle (-4, 1)$ and (5, 4) $\displaystyle (5, 4)$

Possible Answers:

$\displaystyle -3$

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

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

$\displaystyle 3$

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:

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

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

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

Simplify.

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

Reduce.

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

Report an Error

Example Question #212 : Equations Of Lines

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

(4, 4) $\displaystyle (4, 4)$ and (5, 4) $\displaystyle (5, 4)$

Possible Answers:

$\frac{8}{9}$ $\displaystyle \frac{8}{9}$

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

$\frac{1}{8}$ $\displaystyle \frac{1}{8}$

$\displaystyle 0$

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:

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

Simplify.

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

Reduce.

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

Report an Error

Example Question #121 : Slope And Line Equations

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

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

Possible Answers:

$\displaystyle 0$

$\displaystyle -1$

$\displaystyle 1$

$\displaystyle 12$

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:

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

Simplify.

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

Reduce.

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

Report an Error

Example Question #3741 : Algebra 1

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

(5, 10) $\displaystyle (5, 10)$ and (0, -5) $\displaystyle (0, -5)$

Possible Answers:

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

$\displaystyle -3$

$\displaystyle 3$

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

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:

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

Simplify.

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

Reduce.

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

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:

(12, 9) $\displaystyle (12, 9)$ and $\displaystyle (-4, -6)$

Possible Answers:

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

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

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

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

Correct answer:

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

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:

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

Simplify.

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

Reduce.

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

Report an Error

Example Question #461 : Functions And Lines

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

$\displaystyle (-1, -2)$ and $\displaystyle (-4, -3)$

Possible Answers:

$\displaystyle 3$

$\displaystyle -2$

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

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

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:

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

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

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

Simplify.

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

Reduce.

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

Report an Error

Example Question #461 : Functions And Lines

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

(7, 7) $\displaystyle (7, 7)$ and (11, 7) $\displaystyle (11, 7)$

Possible Answers:

$\frac{2}{7}$ $\displaystyle \frac{2}{7}$

$\displaystyle -4$

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

$\displaystyle 0$

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:

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

Simplify.

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

Reduce.

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

Report an Error

Example Question #124 : Slope And Line Equations

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

(8, -4) $\displaystyle (8, -4)$ and (8, 0) $\displaystyle (8, 0)$

Possible Answers:

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

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

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

$\displaystyle 0$

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:

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

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

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

Simplify.

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

Since you cannot divide by $\displaystyle 0$ , the slope of vertical lines are always undefined.

Report an Error

Example Question #463 : Functions And Lines

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

$\displaystyle (-2, -4)$ and (10, 8) $\displaystyle (10, 8)$

Possible Answers:

$\displaystyle 4$

$\displaystyle 2$

$\displaystyle -1$

$\displaystyle 1$

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:

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

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

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

Simplify.

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

Reduce.

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

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 #51 : How To Find Slope Of A Line

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

Example Question #212 : Equations Of Lines

Example Question #121 : Slope And Line Equations

Example Question #3741 : Algebra 1

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

Example Question #461 : Functions And Lines

Example Question #461 : Functions And Lines

Example Question #124 : Slope And Line Equations

Example Question #463 : Functions And Lines

All Algebra 1 Resources

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