
Introduction to Rate of Change
Presentation
•
Mathematics
•
9th - 12th Grade
•
Hard
Joseph Anderson
FREE Resource
12 Slides • 8 Questions
1
IMPORTANT!
(Independent, Dependent)
(x , y)
2
Writing an Equation
You can use an equation to represent an algebraic relationship.
The input or independent variable represents the x-values.
The output or dependent variable represents the y-values.
An equation represents the relationship between the independent and the dependent quantities.
3
y = mx +b
m = slope
b = y -intercept of the line
4
Multiple Choice
What does 'b" represent in y=mx=b
y-intercept
beans
nothing
slope
5
Multiple Choice
Which statement best describes "m"?
x- intercept
y - intercept
slope
tasty
6
What is the equation of the line?
7
What is the equation of the line?
8
Multiple Choice
Give the equation for the graph
y = 5x - 3
y = 4x + 2
y =-2x + 5
y = - 2x + 4
9
Multiple Choice
Which equation best represents the line on the graph?
y= 1/2x
y= -1/2x
y = 2x
y = -2x
10
Multiple Choice
What is the equation of this line?
0
undefined
y = -2
x = -2
11
Write down each piece of information on your white board! You'll need it for the next couple questions!
12
Write down each piece of information on your white board! You'll need it for the next question!
13
Write down each piece of information on your white board! You'll need it for the next question!
14
Identify the slope and y-intercept from the linear equation: y = 4x - 2
Slope (m) =
y-intercept (b) =
15
LInear Equations
Unit 5
#1 Identify the slope and y-intercept from equation and graph
#2 Write the equation for a line in slope-intercept form
16
Multiple Choice
The equation of the graph is
y = 4x - 5
y = 5 - 2x
y = 2x + 5
y = 3x + 5
17
Slope from slope-intercept form
If the equation is in slope-intercept form (solved for y), then the slope is the number IN FRONT OF the x. NOT the x.
Example: y = mx + b, m is the slope. NOT mx.
mx + b = y, m is still the slope.
18
Multiple Select
Choose all of the equations in which the slope is -5.
y = -5x + 2
y = 2x - 5
7 - 5x = y
-5x + y = 7
19
Parallel Slopes
In order for two lines to be parallel, the slopes of their equations must be the same.
20
Multiple Select
Select the two equations that would create parallel lines.
y=32x−9
y=−23x + 6
y=−32x−5
y=23x+9
y=32x−4
IMPORTANT!
(Independent, Dependent)
(x , y)
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