Concept of Slope

Concept of Slope

In this lesson, we will

• study about the concept of a slope

• talk about steepness and a slope

• determine a relation between lines and slope

Question of the day

How can the slope of a line be used to describe the line? 

Today we will

• 1. watch Video

• 2. have short discussion about video

• 3. define slope

• 4. analyze four types of slope

Poll

Is the slope positive, negative, or zero?

• positive

• negative

• zero

Open Ended

Write 1 thing that you learned from watching a video?

Definition

the slope of a line is a number that describes both the direction and the steepness of the line.

Open Ended

Let's talk about the cartoon. Share 1 thing about the slope and direction of a linear path.

Multiple Choice

In which step does a slope have a positive value?

• A

• B

• C

• D

• E

Multiple Choice

In which step does a slope have a negative value?

• A

• B

• C

• D

• E

How to find the slope

The slope is calculated by finding the ratio of the "vertical change" to the "horizontal change" between (any) two distinct points on a line. 

vertical change: rise

horizontal change :run

Multiple Choice

What is the slope in section D?

• positive

• negative

• zero

• cannot be determined

Undefined Slope

A slope is undefined if you neither move to the right nor to the left. Instead, you are dealing with a vertical line where the possibility is to either go up or down.

Let's Review

• Lines with Positive slope slant up to the right.

• Lines with a Negative slope slant down to the right.

• Horizontal lines have a slope of zero because they do not slant up or down

• A vertical line has an Undefined slope.

Multiple Choice

Which of the following graphs is an example of a positive slope?

Poll

I am confident that I can answer questions related to today's lesson.