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Algebra 1 : Functions and Lines

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Example Questions

Example Question #3 : How To Find Slope Of A Line

$\textup{What is the slope of the linear equation }3y-4x=13\textup{ ?}$

Possible Answers:

$-\frac{4}{3}$

$\frac{4}{3}$

$\frac{3}{4}$

$\frac{13}{3}$

$-\frac{3}{4}$

Correct answer:

$\frac{4}{3}$

Explanation:

$\textup{To find the slope, put the equation into }y=mx+b\textup{ format.}$

3y-4x=13

3y=4x+13

$y = \frac{4}{3}x+\frac{13}{3}\;\;\;\;\;\;\textup{slope}=m = \frac{4}{3}$

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Example Question #4 : How To Find Slope Of A Line

Which of the following is an example of an equation written in slope-intercept form?

Possible Answers:

y+x=4

-y=x-4

y=-x+4

y+x-4=0

Correct answer:

y=-x+4

Explanation:

Slope intercept form is y=mx+b , where is the slope and is the y-intercept.

y=-x+4 is the correct answer. The line has a slope of and a y-intercept equal to .

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Example Question #1 : How To Find Slope Of A Line

If (1,2) and (4,6) are on the same line, what is the slope of the line?

Possible Answers:

$\frac{3}{4}$

$\frac{4}{3}$

$\frac{1}{2}$

Correct answer:

$\frac{4}{3}$

Explanation:

$m=slope=\frac{\Delta y}{\Delta x}=\frac{\left ( y_{2}-y_{1}\right )}{\left ( x_{2}-x_{1}\right )}=$

$\frac{\left ( 6-2\right )}{\left ( 4-1\right )}=\frac{4}{3}$

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Example Question #2 : How To Find Slope Of A Line

The equation of a line is:

5x+25y=14

What is the slope of the line?

Possible Answers:

$\frac{1}{5}$

$-\frac{14}{25}$

$-\frac{1}{5}$

$\frac{14}{25}$

Correct answer:

$-\frac{1}{5}$

Explanation:

Solve the equation for y=mx+b

where is the slope of the line:

5x+25y=14

25y=-5x+14

$y=-\left ( \frac{5}{25} \right )x+\frac{14}{25}=-\left ( \frac{1}{5} \right )x+\frac{14}{25}$

$Slope=-\frac{1}{5}$

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Example Question #5 : How To Find Slope Of A Line

A line passes through the points (-1,4) and (4,-9) . What is its slope?

Possible Answers:

$\frac{13}{5}$

$-\frac{13}{5}$

$\frac{5}{13}$

- $-\frac{5}{13}$

Correct answer:

$-\frac{13}{5}$

Explanation:

The slope is the rise over the run. The line drops in -coordinates by 13 while gaining 5 in the -coordinates.

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Example Question #1 : How To Find Slope Of A Line

What is the slope of the line 2y-4x=12 ?

Possible Answers:

Correct answer:

Explanation:

You can rearrange 2y-4x=12 to get an equation resembling the y=mx+b formula by isolating the . This gives you the equation y=2x+6 . The slope of the equation is 2 (the within the y=mx+b equation).

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Example Question #411 : Functions And Lines

What is the slope of the line 3y-9x=15 ?

Possible Answers:

Correct answer:

Explanation:

To easily find the slope of the line, you can rearrange the equation to the y=mx+b form. To do this, isolate the by moving the to the other side of the equation. This gives you 3y=9x+15 . Then, divide both sides by 3 to isolate the , which leaves you with y=3x+5 . Now, the equation is in the y=mx+b form, and you can easily see that the slope is 3.

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Example Question #412 : Functions And Lines

What is the slope of the line depicted by the equation?

6x+3y=15

Possible Answers:

$m=\frac{5}{2}$

$m=-\frac{1}{2}$

$m=\frac{2}{5}$

m=-2

Correct answer:

m=-2

Explanation:

The equation is written in standard from: $\small Ax+By=C$ . In this format, the slope is $\small -\frac{A}{B}$ .

6x+3y=15

In our equation, $\small A=6$ and $\small B=3$ .

$\small m=-\frac{A}{B}=-\frac{6}{3}$

$\small -\frac{6}{3}=-2$

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Example Question #413 : Functions And Lines

Find the slope of the line defined by the equation 4x - 6y = 15 .

Possible Answers:

$\frac{3}{2}$

$\frac{2}{3}$

$-\frac{3}{2}$

$-\frac{2}{3}$

Correct answer:

$\frac{2}{3}$

Explanation:

4x - 6y = 15

-4x + 4x - 6y = -4x + 15

- 6y = -4x + 15

$- 6y \div (-6)=\left ( -4x + 15 \right )\div (-6)$

$y =\frac{2}{3 }x- \frac{5}{2}$

The slope is the coefficient of : $m = \frac{2}{3}$

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Example Question #414 : Functions And Lines

Find the slope of the line that includes points (5,-4) and (8,-2) .

Possible Answers:

$\frac{1}{6}$

$\frac{3}{2}$

$\frac{6}{13}$

$\frac{2}{3}$

Correct answer:

$\frac{2}{3}$

Explanation:

Use the slope formula:

$m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}} = \frac{-2-(-4)}{8-5} = \frac{2}{3}$

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Algebra 1 : Functions and Lines

Study concepts, example questions & explanations for Algebra 1

All Algebra 1 Resources

Example Questions

Example Question #3 : How To Find Slope Of A Line

Example Question #4 : How To Find Slope Of A Line

Example Question #1 : How To Find Slope Of A Line

Example Question #2 : How To Find Slope Of A Line

Example Question #5 : How To Find Slope Of A Line

Example Question #1 : How To Find Slope Of A Line

Example Question #411 : Functions And Lines

Example Question #412 : Functions And Lines

Example Question #413 : Functions And Lines

Example Question #414 : Functions And Lines

All Algebra 1 Resources

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