Warm Up 10-29
1. Label the quadrants and the signs for x and y ( - , +)
Quadrant __ Quadrant __
( , )
( , )
Quadrant
(
,
__
)
Quadrant
(
,
__
)
2. List the ordered pairs under the quadrants, axis, or origin:
(1, 2) (0, 0) (0, 5) (-1,2) (-3,0) (0, -5) (-1, -2)
(3, 0) (1, -2)
Quad I
Quad II
Quad III
Quad IV
x-axis
y-axis
origin
Unit 4 Day 2: Slope
as a Rate of Change
Essential Questions: What are the four
types of slope and what do they look like?
How do you find the slope of a line using
a graph or two ordered pairs?
Vocabulary
Slope: the ________________ of a line,
represented by the letter m.
Rate of Change: when one _______________
changes at a _______________ rate
(example: hourly pay).
Slope is a _______________ of change.
Slope Formula:
change in y
change in x
=
rise
=
run
Types of Slope
_________
__________
________
_________
Example 1: Using the graphs below, classify the slope of the line as
positive, negative, zero or undefined. Then find the value of the slope.
m=
rise
run
Type:
Type:
m=
m=
Type:
Type:
m=
m=
Example 2: Create the table of values to graph the equation
y = 3x - 2.
x
y = 3x - 2
y
(x , y)
-2
(
,
)
-1
(
,
)
0
(
,
)
1
(
,
)
2
(
,
)
What is the ________________
___________________ for y as x
increases by 1?
The ____________ _______________ is +3
(this is the SLOPE!)
Using the Slope Formula
m=
y2 - y1
x2 - x1
y2 = y-coordinate of 2nd point
y1 = y-coordinate of 1st point
x2 = x-coordinate of 2nd point
x1 = x-coordinate of 1st point
It doesn’t matter which point you
choose as the 1st point and which one
you choose as the 2nd point!
Example:
Example 3: Find the slope of the line passing through the given
points.
(-2 , 2) and (3 , 4)
y2 - y1
m= x -x
2
1
(-1 , 2) and (3 , 2)
y2 - y1
m= x -x
2
1
Example 4: Find the slope of the lines passing through the
given points.
(0 , 0) and (3 , -3)
y2 - y1
m= x -x
2
1
(2 , 4) and (2 , 1)
y 2 - y1
m= x -x
2
1
Example 5: In 2010 the average price for a soda was $0.99.
In 2012 the average price for a soda was $1.25. Calculate
the rate of change for the price of soda per year.
change in ________
change in ________
=
=
Rate of change: _______________
Summary
Essential Questions: What are the four types of
slope and what do they look like? How do you find
the slope of a line using a graph or two ordered
pairs?
Take 1 minute to write 2 sentences answering the
essential questions.