finding slope- parts 1 2.notebook - kyrene.org · finding slope parts 1_2.notebook 12 december 17,...
TRANSCRIPT
![Page 1: Finding Slope- Parts 1 2.notebook - kyrene.org · Finding Slope Parts 1_2.notebook 12 December 17, 2018 Finding Slope of a Line 4/5/18 # Examples: Notes: Finding Slope from formula](https://reader030.vdocument.in/reader030/viewer/2022040100/5e17829fd383ef359e1340d1/html5/thumbnails/1.jpg)
Finding Slope Parts 1_2.notebook
1
December 17, 2018
![Page 2: Finding Slope- Parts 1 2.notebook - kyrene.org · Finding Slope Parts 1_2.notebook 12 December 17, 2018 Finding Slope of a Line 4/5/18 # Examples: Notes: Finding Slope from formula](https://reader030.vdocument.in/reader030/viewer/2022040100/5e17829fd383ef359e1340d1/html5/thumbnails/2.jpg)
Finding Slope Parts 1_2.notebook
2
December 17, 2018
Determine Rate of Change
Examples: Notes:
Rise: Vertical Change (y)
Run: Horizontal Change (x)
Rise over Run (of a step): the vertical and the horizontal changes in a graph between 2 points on the line.• Representation of the rate of change shown
in a graph
slope
![Page 3: Finding Slope- Parts 1 2.notebook - kyrene.org · Finding Slope Parts 1_2.notebook 12 December 17, 2018 Finding Slope of a Line 4/5/18 # Examples: Notes: Finding Slope from formula](https://reader030.vdocument.in/reader030/viewer/2022040100/5e17829fd383ef359e1340d1/html5/thumbnails/3.jpg)
Finding Slope Parts 1_2.notebook
3
December 17, 2018
2.2 Characteristics of Graphs
#
Examples: Notes:
Rate: a ratio in which the 2 quantities being compared are measured in different units.• Written in fractional form • Always labeled
Rate of Change: used to describe the rate of increase or decrease.
Per: for each or for every
Unit Rate: a comparison of 2 meausrements in which the denominator has a vale of 1• Written in fractional form • Always labeled
Unit Rate of Change: once the fraction is reduced/divided out to have 1 as its denominator.
![Page 4: Finding Slope- Parts 1 2.notebook - kyrene.org · Finding Slope Parts 1_2.notebook 12 December 17, 2018 Finding Slope of a Line 4/5/18 # Examples: Notes: Finding Slope from formula](https://reader030.vdocument.in/reader030/viewer/2022040100/5e17829fd383ef359e1340d1/html5/thumbnails/4.jpg)
Finding Slope Parts 1_2.notebook
4
December 17, 2018
Finding Slope of a Line
#
Examples: Notes:
Finding the steepness of stairs = same as finding the steepness of a line.
Slope = rate of change = steepness of a line• Fraction of the change in rise (y) over run (x)• Represented by letter "m"
![Page 5: Finding Slope- Parts 1 2.notebook - kyrene.org · Finding Slope Parts 1_2.notebook 12 December 17, 2018 Finding Slope of a Line 4/5/18 # Examples: Notes: Finding Slope from formula](https://reader030.vdocument.in/reader030/viewer/2022040100/5e17829fd383ef359e1340d1/html5/thumbnails/5.jpg)
Finding Slope Parts 1_2.notebook
5
December 17, 2018
Finding Slope of a Line
#
Examples: Notes:
Positive Slopes: RISES from left to right.• m > 0
Negative Slopes: FALLS from left to right.• m < 0
Horizontal Slopes: ZERO slope• y = 3• Where line crosses the y-axis
Vertical Slopes: UNDEFINED• If a step doesn't go up, then it's not a step!• You can't divide by zero• m = undefined
![Page 6: Finding Slope- Parts 1 2.notebook - kyrene.org · Finding Slope Parts 1_2.notebook 12 December 17, 2018 Finding Slope of a Line 4/5/18 # Examples: Notes: Finding Slope from formula](https://reader030.vdocument.in/reader030/viewer/2022040100/5e17829fd383ef359e1340d1/html5/thumbnails/6.jpg)
Finding Slope Parts 1_2.notebook
6
December 17, 2018
Horizontalero
VerticalPositive Negativeundefined
Slope of a Line
increases decreases
NOTES
![Page 7: Finding Slope- Parts 1 2.notebook - kyrene.org · Finding Slope Parts 1_2.notebook 12 December 17, 2018 Finding Slope of a Line 4/5/18 # Examples: Notes: Finding Slope from formula](https://reader030.vdocument.in/reader030/viewer/2022040100/5e17829fd383ef359e1340d1/html5/thumbnails/7.jpg)
Finding Slope Parts 1_2.notebook
7
December 17, 2018
Finding Slope of a Line
#
Examples: Notes:
How to find the slope of a graph:1. Find 2 clear points on line2. Starting on the farthest left point, count
how many units up or down until you are in line with the next point = NUMERATOR
> Positive (+) if it moves up> Negative (-) if it moves down
3. Count how many units over to the right until you hit the next point = DENOMINATOR.
A slope of 4/3 means down 4 over 3 from
point to point
13
slope =
![Page 8: Finding Slope- Parts 1 2.notebook - kyrene.org · Finding Slope Parts 1_2.notebook 12 December 17, 2018 Finding Slope of a Line 4/5/18 # Examples: Notes: Finding Slope from formula](https://reader030.vdocument.in/reader030/viewer/2022040100/5e17829fd383ef359e1340d1/html5/thumbnails/8.jpg)
Finding Slope Parts 1_2.notebook
8
December 17, 2018
![Page 9: Finding Slope- Parts 1 2.notebook - kyrene.org · Finding Slope Parts 1_2.notebook 12 December 17, 2018 Finding Slope of a Line 4/5/18 # Examples: Notes: Finding Slope from formula](https://reader030.vdocument.in/reader030/viewer/2022040100/5e17829fd383ef359e1340d1/html5/thumbnails/9.jpg)
Finding Slope Parts 1_2.notebook
9
December 17, 2018
m =
Find the Slope
![Page 10: Finding Slope- Parts 1 2.notebook - kyrene.org · Finding Slope Parts 1_2.notebook 12 December 17, 2018 Finding Slope of a Line 4/5/18 # Examples: Notes: Finding Slope from formula](https://reader030.vdocument.in/reader030/viewer/2022040100/5e17829fd383ef359e1340d1/html5/thumbnails/10.jpg)
Finding Slope Parts 1_2.notebook
10
December 17, 2018
-15
-2
![Page 11: Finding Slope- Parts 1 2.notebook - kyrene.org · Finding Slope Parts 1_2.notebook 12 December 17, 2018 Finding Slope of a Line 4/5/18 # Examples: Notes: Finding Slope from formula](https://reader030.vdocument.in/reader030/viewer/2022040100/5e17829fd383ef359e1340d1/html5/thumbnails/11.jpg)
Finding Slope Parts 1_2.notebook
11
December 17, 2018
![Page 12: Finding Slope- Parts 1 2.notebook - kyrene.org · Finding Slope Parts 1_2.notebook 12 December 17, 2018 Finding Slope of a Line 4/5/18 # Examples: Notes: Finding Slope from formula](https://reader030.vdocument.in/reader030/viewer/2022040100/5e17829fd383ef359e1340d1/html5/thumbnails/12.jpg)
Finding Slope Parts 1_2.notebook
12
December 17, 2018
Finding Slope of a Line4/5/18 #
Examples: Notes:
Finding Slope from formula1. Assign the first point as
and the second point as2. Use slope formula
3. Plug values in & simplify:
Find the slope of a line passing through points (-2, 4) and (3, 6)
Point Slope Formula
![Page 13: Finding Slope- Parts 1 2.notebook - kyrene.org · Finding Slope Parts 1_2.notebook 12 December 17, 2018 Finding Slope of a Line 4/5/18 # Examples: Notes: Finding Slope from formula](https://reader030.vdocument.in/reader030/viewer/2022040100/5e17829fd383ef359e1340d1/html5/thumbnails/13.jpg)
Finding Slope Parts 1_2.notebook
13
December 17, 2018
![Page 14: Finding Slope- Parts 1 2.notebook - kyrene.org · Finding Slope Parts 1_2.notebook 12 December 17, 2018 Finding Slope of a Line 4/5/18 # Examples: Notes: Finding Slope from formula](https://reader030.vdocument.in/reader030/viewer/2022040100/5e17829fd383ef359e1340d1/html5/thumbnails/14.jpg)
Finding Slope Parts 1_2.notebook
14
December 17, 2018
Assignment Answers
1/22
-3/2 -1/2 -3
-2/3 7/4 -5/6
1 2
-3/2y = 4
-3/41
-20
100-600-2
40-2=
166-14856-42
1814= 9
7=
![Page 15: Finding Slope- Parts 1 2.notebook - kyrene.org · Finding Slope Parts 1_2.notebook 12 December 17, 2018 Finding Slope of a Line 4/5/18 # Examples: Notes: Finding Slope from formula](https://reader030.vdocument.in/reader030/viewer/2022040100/5e17829fd383ef359e1340d1/html5/thumbnails/15.jpg)
Finding Slope Parts 1_2.notebook
15
December 17, 2018
![Page 16: Finding Slope- Parts 1 2.notebook - kyrene.org · Finding Slope Parts 1_2.notebook 12 December 17, 2018 Finding Slope of a Line 4/5/18 # Examples: Notes: Finding Slope from formula](https://reader030.vdocument.in/reader030/viewer/2022040100/5e17829fd383ef359e1340d1/html5/thumbnails/16.jpg)
Finding Slope Parts 1_2.notebook
16
December 17, 2018
Finding Slope of a Line12/14/18 #
Examples: Notes:
Find slope from Table: Rage of Change1. Select any 2 points from a table
> (0, 6) and (4, 9)
2. Identify points as 3. Use Point Slope Formula to find slope.
![Page 17: Finding Slope- Parts 1 2.notebook - kyrene.org · Finding Slope Parts 1_2.notebook 12 December 17, 2018 Finding Slope of a Line 4/5/18 # Examples: Notes: Finding Slope from formula](https://reader030.vdocument.in/reader030/viewer/2022040100/5e17829fd383ef359e1340d1/html5/thumbnails/17.jpg)
Finding Slope Parts 1_2.notebook
17
December 17, 2018
![Page 18: Finding Slope- Parts 1 2.notebook - kyrene.org · Finding Slope Parts 1_2.notebook 12 December 17, 2018 Finding Slope of a Line 4/5/18 # Examples: Notes: Finding Slope from formula](https://reader030.vdocument.in/reader030/viewer/2022040100/5e17829fd383ef359e1340d1/html5/thumbnails/18.jpg)
Finding Slope Parts 1_2.notebook
18
December 17, 2018
Finding Slope of a Line4/5/18 #
Examples: Notes:To graph a line given a point and the Slope:1. Plot the single point that is provided.2. From that point, count how many units up
or down the numerator of the slope is. > If slope is positive, move up.> If the slope is negative, move down.
3. Then, count how many units over to the right from the denominator of the slope.
4. Plot a new point there, repeat to plot another point and connect the points to draw a straight line.
m = ½
![Page 19: Finding Slope- Parts 1 2.notebook - kyrene.org · Finding Slope Parts 1_2.notebook 12 December 17, 2018 Finding Slope of a Line 4/5/18 # Examples: Notes: Finding Slope from formula](https://reader030.vdocument.in/reader030/viewer/2022040100/5e17829fd383ef359e1340d1/html5/thumbnails/19.jpg)
Finding Slope Parts 1_2.notebook
19
December 17, 2018
![Page 20: Finding Slope- Parts 1 2.notebook - kyrene.org · Finding Slope Parts 1_2.notebook 12 December 17, 2018 Finding Slope of a Line 4/5/18 # Examples: Notes: Finding Slope from formula](https://reader030.vdocument.in/reader030/viewer/2022040100/5e17829fd383ef359e1340d1/html5/thumbnails/20.jpg)
Finding Slope Parts 1_2.notebook
20
December 17, 2018