Sign In | Subscribe
Start learning today, and be successful in your academic & professional career. Start Today!
Loading video...
This is a quick preview of the lesson. For full access, please Log In or Sign up.
For more information, please see full course syllabus of Pre Algebra
  • Discussion

  • Study Guides

  • Practice Questions

  • Download Lecture Slides

  • Table of Contents

  • Related Books

Bookmark and Share
Lecture Comments (4)

0 answers

Post by Ismael Perez on March 8 at 08:19:43 PM

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?

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 = [(y1 − y2)/(x1 − x2)]
  • mAB = [(4 − 1)/(1 − ( − 2))] =
  • [3/3] =
1
Find the slope of a line with endpoints A(5,7) and B(2, − 1).
  • m = [(y1 − y2)/(x1 − x2)]
  • mAB = [(7 − ( − 1))/(5 − 2)] =
[8/3]
Find the slope of a line with endpoints A( − 3, − 5) and B(0, − 6).
  • m = [(y1 − y2)/(x1 − x2)]
  • mAB = [( − 5 − ( − 6))/( − 3 − 0)] =
  • [1/( − 3)] =
− [1/3]
Find the slope of a line with endpoints A(9,2) and B( − 1,3).
  • m = [(y1 − y2)/(x1 − x2)]
  • mAB = [(2 − 3)/(9 − ( − 1))] =
  • [( − 1)/10] =
−[1/10]
Find the slope of a line with endpoints A(7,4) and B(0,3).
  • m = [(y1 − y2)/(x1 − x2)]
  • mAB = [(4 − 3)/(7 − 0)] =
[1/7]
Find the slope of a line with endpoints A(4,4) and B(4,0)
  • m = [(y1 − y2)/(x1 − x2)]
  • mAB = [(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 = [(y1 − y2)/(x1 − x2)]
  • mAB = [(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 = [(y1 − y2)/(x1 − x2)]
  • mAB = [( − 5 − ( − 8))/( − 3 − ( − 12))] =
  • [3/9] =
[1/3]
Find the slope of a line with endpoints A(15,10) and B(9,3)
  • m = [(y1 − y2)/(x1 − x2)]
  • mAB = [(10 − 3)/(15 − 9)] =
[7/6]
Find the slope of a line with endpoints A( − 3,19) and B(5, − 2)
  • m = [(y1 − y2)/(x1 − x2)]
  • mAB = [(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 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