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Algebra 1 : How to find slope of a line

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Example Questions

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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Example Question #142 : How To Find Slope Of A Line

Find the slope of the coordinates.

(2,3) (0,-4)

Possible Answers:

$\frac{7}{2}$

$-\frac{1}{2}$

$-\frac{7}{2}$

$\frac{2}{7}$

Correct answer:

$\frac{7}{2}$

Explanation:

To find slope, it is differences of the -coordinates divided by the differences of the coordinates.

$\frac{3-(-4)}{2-0}=\frac{7}{2}$

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Example Question #141 : How To Find Slope Of A Line

Find the slope of the coordinates.

(12.4) (9,-2)

Possible Answers:

$\frac{3}{2}$

$-\frac{1}{2}$

$\frac{1}{2}$

Correct answer:

Explanation:

To find slope, it is differences of the -coordinates divided by the differences of the coordinates.

$\frac{4-(-2)}{12-9}=\frac{6}{3}=2$

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Example Question #142 : How To Find Slope Of A Line

Find the slope of the coordinates.

(-2,3)(6,8)

Possible Answers:

$\frac{5}{4}$

$-\frac{5}{8}$

$\frac{5}{8}$

$\frac{8}{5}$

$-\frac{8}{5}$

Correct answer:

$\frac{5}{8}$

Explanation:

To find slope, it is differences of the -coordinates divided by the differences of the coordinates.

$\frac{3-8}{-2-6}=\frac{-5}{-8}=\frac{5}{8}$

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Example Question #143 : How To Find Slope Of A Line

Find the slope of the coordinates.

(-5.5,6.4)(-3.2,-0.5)

Possible Answers:

$\frac{23}{29}$

$-\frac{1}{3}$

$\frac{1}{3}$

$-\frac{59}{29}$

Correct answer:

Explanation:

To find slope, it is differences of the -coordinates divided by the differences of the coordinates.

$\frac{6.4-(-0.5)}{-5.5-(-3.2)}=\frac{6.9}{-2.3}=-3$

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Example Question #141 : How To Find Slope Of A Line

Find the slope of the coordinates.

(-8,4)(-8,3)

Possible Answers:

$\infty$

Correct answer:

$\infty$

Explanation:

Anytime you see two -coordinates that are the same, this means the slope is vertical. When slopes are vertical, that means the slope is infinity.

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Example Question #142 : How To Find Slope Of A Line

Find the slope of the coordinates.

(-12,7)(24,7)

Possible Answers:

$\infty$

Correct answer:

Explanation:

Anytime you see the -coordinates the same, that means the slope is just a horizontal line. When slopes are horizontal lines, the slope is .

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Example Question #553 : Functions And Lines

Find the slope with the given equation.

y=4x+5

Possible Answers:

Correct answer:

Explanation:

The equation of a slope is y=mx+b . is the slope while is the intercept. So, in this case is . The slope value will always be the coefficient of .

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Example Question #304 : Equations Of Lines

Find the slope with the given equation.

y=-3-6x

Possible Answers:

Correct answer:

Explanation:

The equation of a slope is y=mx+b . is the slope while is the intercept. So, in this case is . The slope value will always be the coefficient of .

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Example Question #311 : Equations Of Lines

Find the slope with the given equation.

3y+5x=10

Possible Answers:

$\frac{10}{3}$

$\frac{3}{10}$

$-\frac{5}{3}$

Correct answer:

$-\frac{5}{3}$

Explanation:

The equation of a slope is y=mx+b . is the slope while is the intercept. We need to solve for .

3y+5x=10 Subtract on both sides.

3y=10-5x Divide on both sides.

So, in this case is $-\frac{5}{3}$ . The slope value will always be the coefficient of .

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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 #3831 : Algebra 1

Example Question #142 : How To Find Slope Of A Line

Example Question #141 : How To Find Slope Of A Line

Example Question #142 : How To Find Slope Of A Line

Example Question #143 : How To Find Slope Of A Line

Example Question #141 : How To Find Slope Of A Line

Example Question #142 : How To Find Slope Of A Line

Example Question #553 : Functions And Lines

Example Question #304 : Equations Of Lines

Example Question #311 : Equations Of Lines

All Algebra 1 Resources

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