Math 10C

Chapter 7 Linear Equations and Graphs

Lesson 73 Slope-Point Form

Focus

The FOCUS section introduces the main concept that will be covered in the lesson.

TEXT Page 370

Read/Work through the  Focus  section at the top of page 370 in  your textbook.

Watch

Video Tutorial (local  linearity example)

Investigate

Investigate an idea or problem, with a partner if possible.
The investigation provides the background for the ideas presented in the lesson.

The Investigation in the textbook is a good one,  and I encourage you to go through it if you are able.

However,  they take a long time to get to the point, and I suspect most students will need more help to “get it”.

I encourage you to follow the textbook investigation, but,  as an alternative,  you can follow the steps of the DESMOS investigation that follows .

TEXT Pages 370 - 371

Read/Work through the  Investigate  section on Pages 370 - 371 in your textbook.

A list of materials  you need for the Investigation is given in the side bar.

Your work will be a lot more efficient if you PLAN for and GATHER these items BEFORE you start the Investigation!

Alternate Investigation (using Desmos)

Introduction  Video  (Investigate A)

Use the two Desmos links that follow, and explore/investigate  the CONNECTIONS between the equations, the numbers in each equation, and the graphs.
There IS a direct connection between the numbers and the graphs.

Desmos Link   (Graph 1)

Desmos Link  (Graph 2)

Video Tutorial  (Investigate B)
(spoiler alert,  you should NOT watch this till video you have made some attempt to see the graph/equation connection yourself)

Challenge,  using Desmos, create several graphs, with different slopes, that all pass through the point with coordinates (-3, 7)

Video Tutorial  (Investigate C)
(and if you want,  here is a link to the graphs I created in the video,  LINK)

Challenge,  using Desmos, create several graphs, with different slopes, that all pass through the point with coordinates (-1, -5)

Video Tutorial  (Investigate D)

Final challenge,  using the Desmos link below,  answer the question posted there.

Desmos Link

Video Tutorial  (Investigate E)

Link the Ideas

Link the Ideas summarizes the math in the lesson.
A presentation of ideas connected to the lesson focus.

TEXT Page 372

Read/Work through the  Link the Ideas  section on Page 372 in your textbook.

Watch

Video Tutorial  (proof of the point-slope form of a line)

Video Tutorial  (formula page)

Examples

Examples will give you TOOLS for solving problems, and also show you that there may be different ways to approach a question.

Example 1  Write the Equation of a Line Using a Point and the Slope

TEXT Pages 372 - 373

Work through Example 1 on Pages 372 - 373 in your textbook.

Watch

Video Tutorial

Your Turn

YOUR TURN gives YOU the chance to try to do a problem ON YOUR OWN,  using the example as  a model.

Use the Video Tutorial for help, or to check your work, BUT... you should do your best to do this question ON YOUR OWN FIRST!

Video Tutorial

Example 2  Determine the Equation of a Line Using Two Points

TEXT Pages 373 - 374

Work through Example 3 on Pages 373 - 374 in your textbook.

Watch

Video Tutorial

Your Turn

YOUR TURN gives YOU the chance to try to do a problem ON YOUR OWN,  using the example as  a model.

Use the Video Tutorial for help, or to check your work, BUT... you should do your best to do this question ON YOUR OWN FIRST!

Video Tutorial

Example 3  Model a Real-Life Situation

TEXT Pages 375 - 376

Work through Example 3 on Pages 375 - 376 in your textbook.

Watch

Video Tutorial

Your Turn

YOUR TURN gives YOU the chance to try to do a problem ON YOUR OWN,  using the example as  a model.

Use the Video Tutorial for help, or to check your work, BUT... you should do your best to do this question ON YOUR OWN FIRST!

Video Tutorial

Key Ideas

Key Ideas summarizes the main new concepts of the lesson.

•	Carefully read through each of the bullet points in this section.

•	If you are unclear about any of these ideas,  ASK YOUR TEACHER FOR HELP!

Check Your Understanding    (Practice Problems)

Doing Practice Problems

Practice problems reinforce the math presented in this lesson.

•	Work through the practice problems for this lesson.
	These problems are for practice, you don’t need to hand them in!
	(your teacher may assign specific questions for you to complete)

•	Use the answers in the back of the book to CHECK YOUR WORK!

•	If you make a mistake, TRY TO FIX IT!

•	If you need help or want more information, view the video solutions provided.

•	If you still need more help,  CONTACT YOUR TEACHER!

Types of Practice Problems

Practice questions require basic understanding of the ideas of the  lesson.

Apply questions will require you to dig deeper for a solution.

Extend questions offer enrichment and extension.

Create Connections questions connect the math to everyday contexts.

Mini Lab (optional)  your teacher may or may not have you do these.

Notes

Question 24,    I didn’t do a video for this one.

Video Solution Links

Check your work for every problem you do!
If you make a mistake,  try to fix it!
Use the video solutions for more information.
If a problem still doesn’t make sense, ASK YOUR TEACHER FOR HELP!

({{"Question 1", "Question 2", "Question 3", "Question 4", "Question 5"}, {"Question 6", "Question 7", "Question 8", "Question 9", "Question 10"}, {"Question 11", "Question 12", "Question 13", "Question 14", "Question 15"}, {"Question 16", "Question 17", "Question 18", "Question 19", "Question 20"}, {"Question 21", "Question 22",  ,  , }})