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Algebra 1 : Equations of Lines

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Example Questions

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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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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Algebra 1 : Equations of Lines

Study concepts, example questions & explanations for Algebra 1

All Algebra 1 Resources

Example Questions

Example Question #209 : Slope And Line Equations

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

All Algebra 1 Resources

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