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Algebra 1 : Slope and Line Equations

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Example Questions

Example Question #171 : Slope And Line Equations

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

(10, 2) and (10, -19)

Possible Answers:

$\text{Undefined}$

$-\frac{19}{10}$

$\frac{10}{19}$

Correct answer:

$\text{Undefined}$

Explanation:

The slope of a line can be found using the formula:

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

Remember that points are written in the format:

(x,y)

For the given points,

$\text{Slope}=\frac{-19-2}{10-10}$

$\text{Slope}=\frac{-21}{0}$

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

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Example Question #172 : Slope And Line Equations

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

(7, 1) and (0, 1)

Possible Answers:

$-\frac{1}{8}$

$\text{Undefined}$

Correct answer:

Explanation:

The slope of a line can be found using the formula:

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

Remember that points are written in the format:

(x,y)

For the given points,

$\text{Slope}=\frac{1-1}{0-7}$

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

Simplify.

$\text{Slope}=0$

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Example Question #173 : Slope And Line Equations

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

(12, 2) and (-2, -2)

Possible Answers:

$-\frac{3}{8}$

$\frac{11}{6}$

$\frac{7}{2}$

$\frac{2}{7}$

Correct answer:

$\frac{2}{7}$

Explanation:

The slope of a line can be found using the formula:

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

Remember that points are written in the format:

(x,y)

For the given points,

$\text{Slope}=\frac{-2-2}{-2-12}$

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

$\text{Slope}=\frac{-2+(-2)}{-2+(-12)}$

Simplify.

$\text{Slope}=\frac{-4}{-14}$

Reduce.

$\text{Slope}=\frac{2}{7}$

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Example Question #511 : Functions And Lines

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

(-1, 10) and (-2, -4)

Possible Answers:

$-\frac{1}{14}$

$\frac{11}{6}$

Correct answer:

Explanation:

The slope of a line can be found using the formula:

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

Remember that points are written in the format:

(x,y)

For the given points,

$\text{Slope}=\frac{-4-10}{-2-(-1)}$

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

$\text{Slope}=\frac{-4-10}{-2+1}$

Simplify.

$\text{Slope}=\frac{-14}{-1}$

Reduce.

$\text{Slope}=14$

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Example Question #512 : Functions And Lines

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

(11, 11) and (-2, -2)

Possible Answers:

$-\frac{11}{2}$

Correct answer:

Explanation:

The slope of a line can be found using the formula:

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

Remember that points are written in the format:

(x,y)

For the given points,

$\text{Slope}=\frac{-2-11}{-2-11}$

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

$\text{Slope}=\frac{-2+(-11)}{-2+(-11)}$

Simplify.

$\text{Slope}=\frac{-13}{-13}$

Reduce.

$\text{Slope}=1$

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Example Question #513 : Functions And Lines

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

(1, -9) and (-2, 1)

Possible Answers:

$-\frac{10}{3}$

$\frac{3}{10}$

$\frac{11}{2}$

Correct answer:

$-\frac{10}{3}$

Explanation:

The slope of a line can be found using the formula:

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

Remember that points are written in the format:

(x,y)

For the given points,

$\text{Slope}=\frac{1-(-9)}{-2-1}$

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

$\text{Slope}=\frac{1+9}{-2-1}$

Simplify.

$\text{Slope}=-\frac{10}{3}$

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Example Question #514 : Functions And Lines

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

(2, -2) and (-3, -10)

Possible Answers:

$\frac{8}{5}$

$-\frac{5}{8}$

$-\frac{12}{5}$

$\frac{2}{7}$

Correct answer:

$\frac{8}{5}$

Explanation:

The slope of a line can be found using the formula:

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

Remember that points are written in the format:

(x,y)

For the given points,

$\text{Slope}=\frac{-10-(-2)}{-3-2}$

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

$\text{Slope}=\frac{-10+2}{-3-2}$

Simplify.

$\text{Slope}=\frac{-8}{-5}$

Reduce.

$\text{Slope}=\frac{8}{5}$

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Example Question #515 : Functions And Lines

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

(1, -3) and (5, 1)

Possible Answers:

$-\frac{1}{2}$

Correct answer:

Explanation:

The slope of a line can be found using the formula:

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

Remember that points are written in the format:

(x,y)

For the given points,

$\text{Slope}=\frac{1-(-3)}{5-1}$

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

$\text{Slope}=\frac{1+3}{5-1}$

Simplify.

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

Reduce.

$\text{Slope}=1$

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Example Question #110 : How To Find Slope Of A Line

What is the slope of the line that passes through the following points?

(76,-585) and (56,85)

Possible Answers:

33.5

-33.5

Correct answer:

-33.5

Explanation:

What is the slope of the line that passes through the following points?

(76,-585) and (56,85)

Calculate slope using the following formula:

$m=\frac{y_1-y_2}{x_1-x_2}$

Note that it isn't important which point you choose as "1" and which point you choose as "2." All that matters is that you keep it consistent.

$m=\frac{-585-85}{76-56}=\frac{-670}{20}=-33.5$

So our slope is -33.5

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Example Question #511 : Functions And Lines

Find the slope between (7,2) and (-3,-5) .

Possible Answers:

$m=\frac{10}{7}$

$m=\frac{}7{10}$

$m=\frac{2}{5}$

$m=\frac{5}{8}$

$m=\frac{5}{2}$

Correct answer:

$m=\frac{}7{10}$

Explanation:

To find the slope between two points, use the slope formula:

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$(x_{1},y_{1})=(7,2)$

$(x_{2},y_{2})=(-3,-5)$

Plug in these values into the slope formula and solve.

$m=\frac{-5-2}{-3-7}=\frac{-7}{-10}=\frac{7}{10}$

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Algebra 1 : Slope and Line Equations

Study concepts, example questions & explanations for Algebra 1

All Algebra 1 Resources

Example Questions

Example Question #171 : Slope And Line Equations

Example Question #172 : Slope And Line Equations

Example Question #173 : Slope And Line Equations

Example Question #511 : Functions And Lines

Example Question #512 : Functions And Lines

Example Question #513 : Functions And Lines

Example Question #514 : Functions And Lines

Example Question #515 : Functions And Lines

Example Question #110 : How To Find Slope Of A Line

Example Question #511 : Functions And Lines

All Algebra 1 Resources

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