finding slope- parts 1 2.notebook - kyrene.org · finding slope parts 1_2.notebook 12 december 17,...

Finding Slope Parts 1_2.notebook

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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


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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.


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Finding Slope of a Line

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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"


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#

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


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Horizontalero

VerticalPositive Negativeundefined

Slope of a Line

increases decreases

NOTES


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#

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

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slope =


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m =

Find the Slope


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-15

-2


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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


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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=


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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.


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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


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finding slope- parts 1 2.notebook - kyrene.org · finding slope parts 1_2.notebook 12 december 17,...

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