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GED Math : Slope

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Example Questions

Example Question #21 : Slope

What is the slope of the line that passes through the points (-5, 1) and (-2, 5) ?

Possible Answers:

$\frac{4}{3}$

$\frac{3}{4}$

$-\frac{3}{4}$

Correct answer:

$\frac{4}{3}$

Explanation:

Recall the how to find the slope of a line:

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

Plug in the given points.

$\text{Slope}=\frac{5-1}{-2-(-5)}$

Simplify to find the slope.

$\text{Slope}=\frac{5-1}{-2-(-5)}=\frac{4}{3}$

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Example Question #22 : Slope

What is the slope of the line that goes through the points (10, 4) and (-5, 6) ?

Possible Answers:

$-\frac{15}{2}$

$\frac{2}{15}$

$\frac{15}{2}$

$-\frac{2}{15}$

Correct answer:

$-\frac{2}{15}$

Explanation:

Recall how to find the slope of a line:

$\text{Slope}=\frac{y_2-y_1}{x_2-x_1}$

Plug in the given points to find the slope.

$\text{Slope}=\frac{6-4}{-5-10}=-\frac{2}{15}$

The line has a slope of $-\frac{2}{15}$ .

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Example Question #23 : Slope

Find the slope of the line connecting the following points.

(19,47) (99,123)

Possible Answers:

$\frac{9}{20}$

$\frac{19}{20}$

$\frac{19}{80}$

$\frac{77}{80}$

Correct answer:

$\frac{19}{20}$

Explanation:

Find the slope of the line connecting the following points.

(19,47) (99,123)

To find slope, use the following formula.

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

Remember, slope is rise over run.

Now, let's plug and chug to get our answer.

$m=\frac{123-47}{99-19}=\frac{76}{80}$

Now, simplify our answer to get our final answer.

$\frac{76}{80}=\frac{38}{40}=\frac{19}{20}$

So our answer is

$\frac{19}{20}$

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Example Question #21 : Slope

What is the slope of the graph?

Linear1 page 001

Possible Answers:

$\frac{2}{3}$

$\frac{3}{2}$

Correct answer:

$\frac{3}{2}$

Explanation:

Slope is $\frac{rise}{run}$ .

We can pick any two points on the graph and count the rise and run. This graph goes through (0,0), so lets pick that point. It also looks like (2,3) is on the graph.

So, from (0,0) to (2,3), you go up 3, and over 2.

This makes our slope $\frac{3}{2}$

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Example Question #22 : Slope

Find the slope of the line connecting the points and .

Possible Answers:

$\frac{12}{17}$

$\frac{12}{101}$

$\frac{101}{12}$

$\frac{2}{17}$

Correct answer:

$\frac{12}{101}$

Explanation:

Find the slope of the line connecting the points and .

To find our slope, we need to recall "Rise over Run." This can also be thought of as change in y over change in x.

$\frac{\delta y}{\delta x}=\frac{y_2-y_1}{x_2-x_1}$

Now, all we need to do is plug in our points and solve. It doesn't matter which pairs are x and which are y, but we must keep it consistent.

$\frac{\delta y}{\delta x}=\frac{65-17}{413-9}=\frac{48}{404}$

Now let's simplify:

$\frac{48}{404}=\frac{12}{101}$

So, we get $\frac{12}{101}$ which cannot be reduced, so we are all set!

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Example Question #745 : Geometry And Graphs

What is the slope of the line perpendicular to the line running between the points (201,31) and (834,3) ?

Possible Answers:

$\frac{633}{28}$

$\frac{-633}{28}$

$\frac{34}{1035}$

$\frac{-28}{633}$

$\frac{28}{633}$

Correct answer:

$\frac{633}{28}$

Explanation:

Recall that slope is calculated as:

$\frac{rise}{run}$

This could be represented, using your two points, as:

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

Based on your data, this would be:

$\frac{3-31}{834-201}=\frac{-28}{633}$

Remember, the question asks for the slope that is perpendicular to this slope! Don't forget this point! The perpendicular slope is opposite and reciprocal.

Therefore, it is:

$\frac{633}{28}$

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GED Math : Slope

Study concepts, example questions & explanations for GED Math

All GED Math Resources

Example Questions

Example Question #21 : Slope

Example Question #22 : Slope

Example Question #23 : Slope

Example Question #21 : Slope

Example Question #22 : Slope

Example Question #745 : Geometry And Graphs

All GED Math Resources

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