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Algebra 1 : Slope and Line Equations

Study concepts, example questions & explanations for Algebra 1

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Example Questions

Example Question #497 : Functions And Lines

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

(15, -7) and (18, 2)

Possible Answers:

$\frac{1}{3}$

$\frac{5}{4}$

Correct answer:

Explanation:

Use the following formula to find the slope of the line:

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

Remember that points are written in the following format:

(x,y)

For this line,

$\text{Slope}=\frac{2-(-7)}{18-15}$

Subtracting a negative number is the same as adding a positive number.

$\text{Slope}=\frac{2+7}{18-15}$

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

Simplify.

$\text{Slope}=3$

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Example Question #91 : How To Find Slope Of A Line

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

(-5, -2) and (-4, -1)

Possible Answers:

$\frac{7}{5}$

Correct answer:

Explanation:

Use the following formula to find the slope of the line:

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

Remember that points are written in the following format:

(x,y)

For this line,

$\text{Slope}=\frac{-1-(-2)}{-4-(-5)}$

Subtracting a negative number is the same as adding a positive number.

$\text{Slope}=\frac{-1+2}{-4+5}$

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

Simplify.

$\text{Slope}=1$

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Example Question #92 : How To Find Slope Of A Line

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

(-1, 5) and (15, 13)

Possible Answers:

$\frac{24}{3}$

$\frac{1}{2}$

$\frac{5}{6}$

Correct answer:

$\frac{1}{2}$

Explanation:

Use the following formula to find the slope of the line:

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

Remember that points are written in the following format:

(x,y)

For this line,

$\text{Slope}=\frac{13-5}{15-(-1)}$

Subtracting a negative number is the same as adding a positive number.

$\text{Slope}=\frac{13-5}{15+1}$

$\text{Slope}=\frac{8}{16}$

Simplify.

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

Report an Error

Example Question #93 : How To Find Slope Of A Line

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

(7, 3) and (19, 3)

Possible Answers:

$\frac{4}{9}$

$\text{Undefined}$

$\frac{4}{5}$

Correct answer:

Explanation:

Use the following formula to find the slope of the line:

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

Remember that points are written in the following format:

(x,y)

For this line,

$\text{Slope}=\frac{3-3}{19-7}$

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

Simplify.

$\text{Slope}=0$

Report an Error

Example Question #94 : How To Find Slope Of A Line

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

(-1, 22) and (16, 2)

Possible Answers:

$\frac{1}{6}$

$-\frac{20}{17}$

$-\frac{17}{20}$

Correct answer:

$-\frac{20}{17}$

Explanation:

Use the following formula to find the slope of the line:

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

Remember that points are written in the following format:

(x,y)

For this line,

$\text{Slope}=\frac{2-22}{16-(-1)}$

Subtracting a negative number is the same as adding a positive number.

$\text{Slope}=\frac{2-22}{16+1}$

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

Simplify.

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

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Example Question #91 : How To Find Slope Of A Line

What is the slope of the line that runs through the points (9,1) and (9,9) ?

Possible Answers:

Undefined

Correct answer:

Undefined

Explanation:

We have been given a set of coordinate points in order to find the slope of the line that runs through it.

We can use the equation:

$\frac{y_2-y_1}{x_2-x_1}= \frac{9-1}{9-9}=\frac{8}0$

Since the resulting denominator is 0, it is determined that the slope is a vertical line (since there was no horizontal movement) with an undefined slope or 'no slope'.

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Example Question #96 : How To Find Slope Of A Line

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

(-1, -2) and (0, 5)

Possible Answers:

$\frac{1}{7}$

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,

$\text{Slope}=\frac{5-(-2)}{0-(-1)}$

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

$\text{Slope}=\frac{5+2}{0+1}$

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

Simplify.

$\text{Slope}=7$

Report an Error

Example Question #162 : Slope And Line Equations

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

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

Possible Answers:

$-\frac{1}{4}$

$\frac{1}{3}$

Correct answer:

$\frac{1}{3}$

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,

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

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

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

Simplify.

$\text{Slope}=\frac{2}{6}$

Reduce.

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

Report an Error

Example Question #98 : How To Find Slope Of A Line

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

(4, 10) and (0, 10)

Possible Answers:

$\frac{5}{7}$

$\frac{3}{5}$

$\text{Undefined}$

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,

$\text{Slope}=\frac{10-10}{0-4}$

Simplify.

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

Reduce.

$\text{Slope}=0$

Report an Error

Example Question #162 : Slope And Line Equations

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

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

Possible Answers:

$\frac{5}{9}$

$\text{Undefined}$

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,

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

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

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

Report an Error

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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 #497 : Functions And Lines

Example Question #91 : How To Find Slope Of A Line

Example Question #92 : How To Find Slope Of A Line

Example Question #93 : How To Find Slope Of A Line

Example Question #94 : How To Find Slope Of A Line

Example Question #91 : How To Find Slope Of A Line

Example Question #96 : How To Find Slope Of A Line

Example Question #162 : Slope And Line Equations

Example Question #98 : How To Find Slope Of A Line

Example Question #162 : Slope And Line Equations

All Algebra 1 Resources

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