 Warm - Up; Khan Topic
 Continue Slope Practice
 Slope - Intercept Formula
Interpreting Graphs of Linear
and Non-Linear Functions
nonlinear
1
1pi
1 0
<
Linear/ Nonlinear
Given this,what are the x and y axes?
faster
16
7
twice
• Find the range of the function below when the domain is {-4, -1, 3}
y = |x| - 2
Warm Up/Test Review
4
𝟏
𝟑
0 0 -13
x
y
x2 – x1
y2
– y1
change
in y
change in x
The slope of the line passing through the two points (x1, y1) and
(x2, y2) is given by the formula
(x1, y1)
(x2, y2)
x2 – x1
The rise is the difference of the
y-values of two points on a line.
The run is the difference in the
x-values of two points on a line.
The constant rate of change of a straight line is called the slope.
The Slope of a Line:
Slope is usually represented by the
letter m (from the French, monter,
which means “to go up”).
Straight Lines (linear functions) are straight because
the slope never changes!!
(3, 2)
(–1, –2)
Then count horizontally to a second point to find the run.
Count vertically from any one point on the line to find the rise.
Finding the Slope of a Line
slope =
𝟒
𝟒
= 1
The slope of the line is 1.
It does not matter which ordered pair you start with.
slope =
−𝟒
−𝟒
= 1
4
4
(5, 4)
Then count horizontally to a second
point to find the run.
Count vertically from any one point
on the line to find the rise.
slope =
𝟐
𝟒
=
𝟏
𝟐
The slope of the line is
𝟏
𝟐
slope =
−𝟐
−𝟒
=
𝟏
𝟐
Find the slope of the line:
It does not matter which y you
begin from.
(1, 2)
The Slope of a Line
The slope of a line is the ratio of rise
to run for any two points on the line.
change in y
change in x
Rise
Run
=
Find the slope of the line passing through the points (2, 3) & (4, 5).
The x1 and y1 must come from the same ordered pair.
y2 – y1
x2 – x1
m =
5 – 3
4 – 2
= =
2
2
= 1
2
2(2, 3)
(4, 5)
x
y
The Slope of a Line
Name one other
ordered pair on
this line.
The Slope of a Line
What is the slope
of this, and all
horizontal lines?
Don't guess, just
plug the numbers
in...
All horizontal
lines have a slope
of zero.
The Slope of a Line
What is the slope
of this, and all
vertical lines?
All vertical lines have a
slope that is undefined
because... a denominator
cannot be zero.
m = 0
m = 2
m is
undefined
m =
1
2
m = -
1
4
y2 – y1
x2 – x1
m =
The Slope of a Line
The Slope of a Line
What is the slope of the line?
The Slope of a Line
Find the next point in
both directions
Find the slope of each line:
23
m =
𝟏
𝟐
m = 𝟐m = - 𝟐
1
Grand Prix Go-Carts:
What is the y-intercept?
What are the independent (x) and
dependent (y) variables?
How does each change in the x variable affect the dependent,
y variable? In other words, what is the rate of change?
Which graph shows the price function?
Test Review:
A
B
C
D
E
Is this graph a function?
By what percent did the price of silver drop
between Aug. 7th & August 9th? 36%
Test Review:

February 17 2015

  • 1.
     Warm -Up; Khan Topic  Continue Slope Practice  Slope - Intercept Formula
  • 2.
    Interpreting Graphs ofLinear and Non-Linear Functions
  • 4.
  • 5.
    Given this,what arethe x and y axes? faster 16 7 twice
  • 6.
    • Find therange of the function below when the domain is {-4, -1, 3} y = |x| - 2 Warm Up/Test Review 4 𝟏 𝟑 0 0 -13
  • 8.
    x y x2 – x1 y2 –y1 change in y change in x The slope of the line passing through the two points (x1, y1) and (x2, y2) is given by the formula (x1, y1) (x2, y2) x2 – x1 The rise is the difference of the y-values of two points on a line. The run is the difference in the x-values of two points on a line. The constant rate of change of a straight line is called the slope. The Slope of a Line: Slope is usually represented by the letter m (from the French, monter, which means “to go up”). Straight Lines (linear functions) are straight because the slope never changes!!
  • 9.
    (3, 2) (–1, –2) Thencount horizontally to a second point to find the run. Count vertically from any one point on the line to find the rise. Finding the Slope of a Line slope = 𝟒 𝟒 = 1 The slope of the line is 1. It does not matter which ordered pair you start with. slope = −𝟒 −𝟒 = 1 4 4
  • 10.
    (5, 4) Then counthorizontally to a second point to find the run. Count vertically from any one point on the line to find the rise. slope = 𝟐 𝟒 = 𝟏 𝟐 The slope of the line is 𝟏 𝟐 slope = −𝟐 −𝟒 = 𝟏 𝟐 Find the slope of the line: It does not matter which y you begin from. (1, 2) The Slope of a Line The slope of a line is the ratio of rise to run for any two points on the line. change in y change in x Rise Run =
  • 11.
    Find the slopeof the line passing through the points (2, 3) & (4, 5). The x1 and y1 must come from the same ordered pair. y2 – y1 x2 – x1 m = 5 – 3 4 – 2 = = 2 2 = 1 2 2(2, 3) (4, 5) x y The Slope of a Line Name one other ordered pair on this line.
  • 12.
    The Slope ofa Line What is the slope of this, and all horizontal lines? Don't guess, just plug the numbers in... All horizontal lines have a slope of zero.
  • 13.
    The Slope ofa Line What is the slope of this, and all vertical lines? All vertical lines have a slope that is undefined because... a denominator cannot be zero.
  • 14.
    m = 0 m= 2 m is undefined m = 1 2 m = - 1 4 y2 – y1 x2 – x1 m = The Slope of a Line
  • 15.
  • 16.
    What is theslope of the line? The Slope of a Line Find the next point in both directions
  • 17.
    Find the slopeof each line: 23 m = 𝟏 𝟐 m = 𝟐m = - 𝟐 1
  • 18.
    Grand Prix Go-Carts: Whatis the y-intercept? What are the independent (x) and dependent (y) variables? How does each change in the x variable affect the dependent, y variable? In other words, what is the rate of change? Which graph shows the price function?
  • 19.
  • 20.
    Is this grapha function? By what percent did the price of silver drop between Aug. 7th & August 9th? 36% Test Review: