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Algebra 1 : Slope and Line Equations

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Example Questions

Example Question #221 : Slope And Line Equations

Find the slope with the given equation.

y=x

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 #153 : How To Find Slope Of A Line

Find the slope with the given equation.

x=5

Possible Answers:

$\frac{1}{5}$

$\infty$

Correct answer:

$\infty$

Explanation:

The equation of a slope is y=mx+b . is the slope while is the intercept. Problem is we don't have a . This means the graph will be a vertical line with the line crossing through the axis at . Vertical slopes mean the slope is infinity.

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Example Question #154 : How To Find Slope Of A Line

What is the slope of a line with the equation y=9x+8 ?

Possible Answers:

$\frac{8}{9}$

$\frac{9}{8}$

Correct answer:

Explanation:

The current equation is already in the slope intercept form.

The slope-intercept form is:

y=mx+b

The is the slope of the equation.

The answer is .

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Example Question #221 : Slope And Line Equations

Find the slope of the line if the line connects the points (5,-1) and (-9,9) .

Possible Answers:

$\frac{5}{7}$

$-\frac{5}{2}$

$-\frac{5}{7}$

Correct answer:

$-\frac{5}{7}$

Explanation:

Write the formula for the slope.

$m= \frac{y_2-y_1}{x_2-x_1}$

Substitute the points.

$m= \frac{9-(-1)}{-9-5} = \frac{10}{-14}$

Reduce the fraction.

$m= -\frac{5}{7}$

The slope is $-\frac{5}{7}$ .

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Example Question #561 : Functions And Lines

Find the slope of the following line:

18y = -72x + 36

Possible Answers:

Correct answer:

Explanation:

To find the slope of a line, we will write it in slope-intercept form

y = mx + b

where m is the slope. Given the line

18y = -72x + 36

we will need to solve for y, or get y to stand alone. To do that, we will divide each term by 18. So,

$\frac{18y}{18} = \frac{-72x}{18} + \frac{36}{18}$

y = -4x + 2

Using the information given above, we can see that the slope is -4.

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Example Question #562 : Functions And Lines

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

Possible Answers:

$\textup{Slope does not exist.}$

Correct answer:

Explanation:

To find the slope of the line, we will need to re-format the equation back to slope-intercept form, y=mx+b .

Add on both sides.

3x-y+6+y=3x+y

3x+6=3x+y

Subtract on both sides.

3x+6-3x=3x+y-3x

Simplify both sides.

y=6

This is a horizontal line and the value of is zero.

The answer of the slope is:

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Example Question #154 : How To Find Slope Of A Line

Give the slope of the line of the equation

3x+2= 6y

Possible Answers:

$\frac{1}{3}$

$\frac{1}{2}$

Correct answer:

$\frac{1}{2}$

Explanation:

Rewrite the equation in slope-intercept form y = mx+b :

3x+2= 6y

6y = 3x+2

$6y \div 6 = (3x+2) \div 6$

$y = \frac{3}{6} x+ \frac{2}{6}$

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

The coefficient of , which is $\frac{1}{2}$ , is the slope of the line.

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Example Question #316 : Equations Of Lines

Give the slope of the line of the equation

8y = 3x + 7

Possible Answers:

$\frac{3}{8}$

$\frac{8}{3}$

$\frac{7}{3}$

$\frac{3}{7}$

$\frac{7}{8}$

Correct answer:

$\frac{3}{8}$

Explanation:

Rewrite the equation in slope-intercept form y = mx+b :

8y = 3x + 7

$8y \div 8 = (3x + 7) \div 8$

$y = \frac{3}{8}x+ \frac{7}{8}$

The coefficient of , which is $\frac{3}{8}$ , is the slope of the line.

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Example Question #151 : How To Find Slope Of A Line

Give the slope of the line of the equation

7y+ 4x = 29

Possible Answers:

$\frac{29}{7}$

$-\frac{7}{4}$

$\frac{29}{4}$

$\frac{7}{29}$

$-\frac{4}{7}$

Correct answer:

$-\frac{4}{7}$

Explanation:

Rewrite the equation in slope-intercept form y = mx+b :

7y+ 4x = 29

7y+ 4x - 4x = 29 - 4x

7y = -4x+ 29

$7y \div 7 = (-4x+ 29) \div 7$

$y = -\frac{4}{7}x + \frac{29}{7}$

The coefficient of , which is $-\frac{4}{7}$ , is the slope of the line.

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Example Question #221 : Slope And Line Equations

Give the slope of the line of the equation

9y - 4x = 30

Possible Answers:

$-\frac{4}{9}$

$-\frac{9}{4}$

$\frac{9}{4}$

$\frac{4}{9}$

Correct answer:

$\frac{4}{9}$

Explanation:

Rewrite the equation in slope-intercept form y = mx+b :

9y - 4x = 30

9y - 4x + 4x = 30+ 4x

9y = 4x+ 30

$9y \div 9 = (4x+ 30) \div 9$

$y = \frac{4}{9} x + \frac{30}{9}$

$y = \frac{4}{9} x + \frac{10}{3}$

The coefficient of , which is $\frac{4}{9}$ , is the slope.

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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 #221 : Slope And Line Equations

Example Question #153 : How To Find Slope Of A Line

Example Question #154 : How To Find Slope Of A Line

Example Question #221 : Slope And Line Equations

Example Question #561 : Functions And Lines

Example Question #562 : Functions And Lines

Example Question #154 : How To Find Slope Of A Line

Example Question #316 : Equations Of Lines

Example Question #151 : How To Find Slope Of A Line

Example Question #221 : Slope And Line Equations

All Algebra 1 Resources

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