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Algebra 1 : Slope and Line Equations

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Example Questions

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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Example Question #209 : Slope And Line Equations

Given: ax+by=c

Determine the slope of this line.

Possible Answers:

$\frac{ax}{b}$

$\frac{c}{b}$

$-\frac{a}{b}$

No solution

Correct answer:

$-\frac{a}{b}$

Explanation:

ax+by=c is the standard form for a linear equation.

Given this linear equation, you were asked to determine the slope of the line.

In order to find the slope we have to first put the equation in to slope intercept form, y=mx+b .

Solving for :

Subtract the from both sides, by=-ax+c , divide the entire equation by , to isolate

$y = \frac{-ax}{b}+\frac{c}{b}$

The slope then is $-\frac{a}{b}$ .

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Example Question #3831 : Algebra 1

What is the slope of the following line? -3x+9y=6

Possible Answers:

$-\frac{1}{3}$

$\frac{1}{3}$

$-\frac{2}{3}$

Correct answer:

$\frac{1}{3}$

Explanation:

The equation given is currently not in the slope-intercept form, y=mx+b .

Add 3x on both sides of the equation to move this term to the right side.

-3x+(3x)+9y=+(3x)+6

Simpilfy the left side.

9y=3x+6

Divide by nine on both sides.

$\frac{9y}{9}=\frac{3x+6}{9}$

Simplify both sides.

$y= \frac{3}{9}x+\frac{6}{9}$

Reduce the fractions.

$y= \frac{1}{3}x+\frac{2}{3}$

The slope is $\frac{1}{3}$ .

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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 #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

Example Question #209 : Slope And Line Equations

Example Question #3831 : Algebra 1

All Algebra 1 Resources

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