Please complete your Homework Helper!Monday 9/8/2014

Bell Work.1.) Write down one Number and its noun that describe this weekend. (example: 13 football games) 2.) In a negative correlation, as x ____________, y ______________. 3.) In a positive correlation, as x decreases, y____________.

Lesson 1.4:The Meaning of Slope

Learning Objective: Students will identify the slope of a line and interpret it as a rate of change.

Definitions:

1.) Slope AKA Rate of Change: Slope is a measure of the

steepness of a line.

(Definitions)

2.) Rate of change is how fast something is changing.• Example: Speed is an example of a

rate of change!

Types of Slope

Negative

Zero

Undefinedor

No Slope

How many points do you need to draw a line?

• One

• Two

• Three

Finding Slope

•To find slope, use the graph to find the rise and the run from one point to another point (more on this in the next unit)!

Rise

•Rise: how far you go up (positive) or down (negative).

•Run•Run: how far you go right (positive) or left (negative).

Vertical ChangeHorizontal Change

This ratio is also known asRiseRun

Graph (3,2) and (-1,-1)

Draw a line through the points.

Now that we have our line lets find its slope.

Remember we are finding the following ratio: Vertical or Rise

Horizontal Run

Vertical Changeor the Rise

3

Horizontal Changeor the Run

4

3

Vertical Rise Horizontal Run

34

Find the slope of the following line.

The slope is…

12

Find the slope of the line.

The slope is….

-3

Find the slope of these lines.

The slope is…

• Black line 3

• Red Line 1

• Blue Line -1/2

Find the slope of these lines

The slope is…

• Orange line 0

• Green Line Undefined

Slope-Intercept Form

•The mathematical equation of a line in slope-intercept form is:

y = mx + b