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Algebra 1 : Equations of Lines

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Example Questions

Example Question #121 : How To Find Slope Of A Line

Find the slope of the following line:

3x+y=4

Possible Answers:

$\frac{3}{4}$

Correct answer:

Explanation:

In order to find the slope of this line, it needs to be converted from standard form into slope-intercept form. To do this solve for "y".

3x+y=4

y=-3x+4

The slope is the number in front of the "x" which in this case is -3

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Example Question #191 : Slope And Line Equations

Find the slope of the following line:

-x+2y=2

Possible Answers:

$\frac{-1}{2}$

$\frac{1}{2}$

Correct answer:

$\frac{1}{2}$

Explanation:

In order to find the slope of this line, it needs to be converted from standard form into slope-intercept form. To do this solve for "y".

-x+2y=2

2y=x+2

$y=\frac{1}{2}x+1$

The slope is the number in front of the "x" which in this case is 1/2

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Example Question #201 : Slope And Line Equations

Find the slope of the following ine:

-4x+2y=6

Possible Answers:

Correct answer:

Explanation:

In order to find the slope of this line, it needs to be converted from standard form into slope-intercept form. To do this solve for "y".

-4x+2y=6

2y=4x+6

y=2x+3

The slope is the number in front of the "x" which in this case is 2

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Example Question #202 : Slope And Line Equations

Find the slope of the following line:

y-x=2

Possible Answers:

$\frac{1}{2}$

Correct answer:

Explanation:

In order to find the slope of this line, it needs to be converted from standard form into slope-intercept form. To do this solve for "y".

y-x=2

y=x+2

The slope is the number in front of the "x" which in this case is 1

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Example Question #203 : Slope And Line Equations

Find the slope of the following line:

7x-y=-2

Possible Answers:

$\frac{2}{7}$

Correct answer:

Explanation:

In order to find the slope of this line, it needs to be converted from standard form into slope-intercept form. To do this solve for "y".

7x-y=-2

-y=-7x-2

y=7x+2

The slope is the number in front of the "x" which in this case is 7

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Example Question #204 : Slope And Line Equations

Find the slope of the following line:

3y-9x=6

Possible Answers:

$\frac{1}{3}$

Correct answer:

Explanation:

In order to find the slope of this line, it needs to be converted from standard form into slope-intercept form. To do this solve for "y".

3y-9x=6

3y=9x+6

y=3x+2

The slope is the number in front of the "x" which in this case is 3

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Example Question #205 : Slope And Line Equations

Find the slope of the line running through the following two points:

(2,1) & (-6,-5)

Possible Answers:

$\frac{-1}{2}$

$\frac{3}{4}$

$\frac{4}{3}$

Correct answer:

$\frac{3}{4}$

Explanation:

To find the slope of the line that contains two points, use the following formula:

$slope=\frac{rise}{run}=\frac{y_{1}-y_{2}}{x_{1}-x_{2}}$

For this set of points, that would look like the following:

$\frac{1-(-5)}{2-(-6)}=\frac{1+5}{2+6}=\frac{6}{8}\div \frac{2}{2}=\frac{3}{4}$

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Example Question #206 : Slope And Line Equations

Find the slope of the line containing the following two points:
(6,2)&(4,3)

Possible Answers:

$\frac{-1}{2}$

$\frac{1}{2}$

Correct answer:

$\frac{-1}{2}$

Explanation:

To find the slope of the line that contains two points, use the following formula:

$slope=\frac{rise}{run}=\frac{y_{1}-y_{2}}{x_{1}-x_{2}}$

For this set of points, that would look like the following:

$\frac{3-2}{4-6}=\frac{1}{-2}=\frac{-1}{2}$

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Example Question #207 : Slope And Line Equations

Find the slope of the line containing the following two points:

(5,7)&(-1,2)

Possible Answers:

$\frac{4}{5}$

$\frac{3}{4}$

$\frac{5}{6}$

$\frac{6}{5}$

Correct answer:

$\frac{5}{6}$

Explanation:

To find the slope of the line that contains two points, use the following formula:

$slope=\frac{rise}{run}=\frac{y_{1}-y_{2}}{x_{1}-x_{2}}$

For this set of points, that would look like the following:

$\frac{7-2}{5-(-1)}=\frac{7-2}{5+1}=\frac{5}{6}$

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Example Question #208 : Slope And Line Equations

Find the slope of the line containing the following two points:

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

Possible Answers:

$\frac{1}{2}$

Correct answer:

Explanation:

To find the slope of the line that contains two points, use the following formula:

$slope=\frac{rise}{run}=\frac{y_{1}-y_{2}}{x_{1}-x_{2}}$

For this set of points, that would look like the following:

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

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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 #121 : How To Find Slope Of A Line

Example Question #191 : Slope And Line Equations

Example Question #201 : Slope And Line Equations

Example Question #202 : Slope And Line Equations

Example Question #203 : Slope And Line Equations

Example Question #204 : Slope And Line Equations

Example Question #205 : Slope And Line Equations

Example Question #206 : Slope And Line Equations

Example Question #207 : Slope And Line Equations

Example Question #208 : Slope And Line Equations

All Algebra 1 Resources

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