For more information, please see full course syllabus of Pre Algebra

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For more information, please see full course syllabus of Pre Algebra

For more information, please see full course syllabus of Pre Algebra

## Discussion

## Study Guides

## Practice Questions

## Download Lecture Slides

## Table of Contents

## Related Books

### Slope

- Slope represents the ratio of rise over run. It can be calculated by finding the change in y divided by the change in x.
- A line that rises from left to right has a positive slope. A line that falls from left to right has a negative slope. A horizontal line has a zero slope and a vertical line has an undefined slope.
- To find slope from a graph, you can count the units of rise and divide by the units of run. Or, you can choose any two points and find the change in y divided by the change in x.

### Slope

Find the slope of a line with endpoints A(1,4) and B( − 2,3).

- m = [(y
_{1}− y_{2})/(x_{1}− x_{2})] - m
_{AB}= [(4 − 1)/(1 − ( − 2))] = - [3/3] =

1

Find the slope of a line with endpoints A(5,7) and B(2, − 1).

- m = [(y
_{1}− y_{2})/(x_{1}− x_{2})] - m
_{AB}= [(7 − ( − 1))/(5 − 2)] =

[8/3]

Find the slope of a line with endpoints A( − 3, − 5) and B(0, − 6).

- m = [(y
_{1}− y_{2})/(x_{1}− x_{2})] - m
_{AB}= [( − 5 − ( − 6))/( − 3 − 0)] = - [1/( − 3)] =

− [1/3]

Find the slope of a line with endpoints A(9,2) and B( − 1,3).

- m = [(y
_{1}− y_{2})/(x_{1}− x_{2})] - m
_{AB}= [(2 − 3)/(9 − ( − 1))] = - [( − 1)/10] =

−[1/10]

Find the slope of a line with endpoints A(7,4) and B(0,3).

- m = [(y
_{1}− y_{2})/(x_{1}− x_{2})] - m
_{AB}= [(4 − 3)/(7 − 0)] =

[1/7]

Find the slope of a line with endpoints A(4,4) and B(4,0)

- m = [(y
_{1}− y_{2})/(x_{1}− x_{2})] - m
_{AB}= [(4 − 0)/(4 − 4)] = - [4/0] =

undefined slope, vertical line

Find the slope of a line with endpoints A(3,8) and B(0,8)

- m = [(y
_{1}− y_{2})/(x_{1}− x_{2})] - m
_{AB}= [(8 − 8)/(3 − 0)] = - [0/3] =

0, horizontal line

Find the slope of a line with endpoints A( − 3, − 5) and B( − 12, − 8).

- m = [(y
_{1}− y_{2})/(x_{1}− x_{2})] - m
_{AB}= [( − 5 − ( − 8))/( − 3 − ( − 12))] = - [3/9] =

[1/3]

Find the slope of a line with endpoints A(15,10) and B(9,3)

- m = [(y
_{1}− y_{2})/(x_{1}− x_{2})] - m
_{AB}= [(10 − 3)/(15 − 9)] =

[7/6]

Find the slope of a line with endpoints A( − 3,19) and B(5, − 2)

- m = [(y
_{1}− y_{2})/(x_{1}− x_{2})] - m
_{AB}= [(19 − ( − 2))/( − 3 − 5)] =

− [21/8] =

*These practice questions are only helpful when you work on them offline on a piece of paper and then use the solution steps function to check your answer.

Answer

### Slope

Lecture Slides are screen-captured images of important points in the lecture. Students can download and print out these lecture slide images to do practice problems as well as take notes while watching the lecture.

- Intro
- What You'll Learn and Why
- Vocabulary
- Slope
- Finding the Slope of a Line
- Finding the Slope of a Line
- Finding Slope of a Line With Given Coordinates
- Extra Example 1: Find the Slope of the Line
- Extra Example 2: Find the Slope of the Line
- Extra Example 3: Find the Slope of the Line
- Extra Example 4: Find the Slope of the Line

- Intro 0:00
- What You'll Learn and Why 0:05
- Topics Overview
- Vocabulary 0:15
- Slope Definition 1
- Slope Definition 2
- Slope 1:20
- Positive Slope
- Negative Slope
- Slope of 0
- Undefined Slope
- Finding the Slope of a Line 3:57
- Example: Using Rise/Run to Find Slope
- Finding the Slope of a Line 6:01
- Example: Using Coordinates to Find Slope
- Finding Slope of a Line With Given Coordinates 9:00
- Example: Slope of (4,1) and (3, -2)
- Extra Example 1: Find the Slope of the Line 10:17
- Extra Example 2: Find the Slope of the Line 12:19
- Extra Example 3: Find the Slope of the Line 14:54
- Extra Example 4: Find the Slope of the Line 16:35

0 answers

Post by Ismael Perez on March 8, 2016

What you have in the lecture is M=(y2-y1)\(x2-x1), but in the practice questions they have the slope formula as M=(y1-y2)\(x1-x2), looking online the correct formula is what's in the lecture, that's why everyone is telling you that the practice question are wrong.

0 answers

Post by Khanh Nguyen on May 24, 2014

I was talking about the practice questions

0 answers

Post by Professor Fung on March 17, 2014

Hi Khanh,

I reviewed my first example and did not find an error. Could you provide a time for the example you're questioning?

Thank you.

0 answers

Post by Khanh Nguyen on March 13, 2014

Ms. Fung, question #1 has the wrong answer and the steps are wrong.

Could you please change it?