Embed Size (px)
Citation preview
Notes 4.3.notebook
1
November 21, 2016
Warmup1. Find the x and yintercepts of 2x 5y = 20
2. Describe the correlation shown by the scatter plot.
4.3 Rate of Change & Slope
1.) find rates of change for real world situations
2.) find the slope of a line from a graph (including horizontal and vertical) using rise over run
3.) tell whether the slope of a graph is positive, negative, zero, or undefined
I can...
Notes 4.3.notebook
2
November 21, 2016
4.3 Rate of Change and Slope
Rate of ChangeA ratio that compares the amount of change in a dependent variable to the amount of change
in an independent variable.
(y)(x)
4.3 Rate of Change and Slope♦I can find rates of change for realworld situations♦
Example 1: The table shows the cost of mailing a 1ounce letter indifferent years. Find the rate of change in cost for each time interval and then graph to show the rates of change. During which time interval did the cost increase at the greatest rate?
1988 1990: ____________
1990 1991: ____________
1991 2004: ____________
2004 2008: ____________
Notes 4.3.notebook
3
November 21, 2016
4.3 Rate of Change and Slope
The constant rate of change of a nonvertical line (STEEPNESS)
RISE: difference in yvalues of two points on a lineRUN: difference in xvalues of two points on a line
SLOPE: Ratio of RISE to RUN for two points on a line
Slope (m) = Rise change in yRun change in x
(Remember that y is the dependent variable and x is the independent variable)
FINDING THE SLOPE OF A LINE
4.3 Rate of Change and Slope♦I can find the slope of a line from a graph (including horizontal and vertical) using rise over run♦Example 2: Find the slope of the line.a. b.
Notes 4.3.notebook
4
November 21, 2016
4.3 Rate of Change and Slope♦I can find the slope of a line from a graph (including horizontal and vertical) using rise over run♦
Checkpoint: Find the slope of the line that contains the two given points.
(0, –3) and (5, –5)
4.3 Rate of Change and Slope♦I can find the slope of a line from a graph (including horizontal and vertical) using rise over run♦Example 3: Find the slopes of horizontal and vertical lines.a. b.
Notes 4.3.notebook
5
November 21, 2016
4.3 Rate of Change and Slope♦I can tell whether the slope of a graph is positive, negative, zero, or undefined♦
4 Different Types of SlopePositive Slope
Negative Slope
Zero Slope
Undefined Slope
4.3 Rate of Change and Slope♦I can tell whether the slope of a graph is positive, negative, zero, or undefined♦
Positive Slope
Notes 4.3.notebook
6
November 21, 2016
4.3 Rate of Change and Slope♦I can tell whether the slope of a graph is positive, negative, zero, or undefined♦
Negative Slope
4.3 Rate of Change and Slope♦I can tell whether the slope of a graph is positive, negative, zero, or undefined♦
Zero Slope
Notes 4.3.notebook
7
November 21, 2016
4.3 Rate of Change and Slope♦I can tell whether the slope of a graph is positive, negative, zero, or undefined♦
Undefined Slope
4.3 Rate of Change and Slope♦I can tell whether the slope of a graph is positive, negative, zero, or undefined♦Classification of Lines by Slope:
Notes 4.3.notebook
8
November 21, 2016
4.3 Rate of Change and SlopeA line’s slope is a measure of steepness. Some lines are steeper than others. As the absolute value of the line increases, the line becomes steeper. As the absolute value of the slope decreases,
the line becomes less steep.
4.3 Rate of Change and Slope
Notes 4.3.notebook
9
November 21, 2016
4.3 Rate of Change and Slope
