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 Undefined or 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 Change Horizontal Change This ratio is also known as Rise Run

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 orRise Horizontal Run

Vertical Change or the Rise 3

Horizontal Change or the Run 4 3

Vertical Rise Horizontal Run 3 4

Find the slope of the following line.

The slope is… 1 2

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 line0 Green LineUndefined

Slope-Intercept Form The mathematical equation of a line in slope-intercept form is: y = mx + b