Please complete your Homework Helper! Monday 9/8/2014 Bell Work. 1.) Write down one Number and its...
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Transcript of Please complete your Homework Helper! Monday 9/8/2014 Bell Work. 1.) Write down one Number and its...
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