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Moving Straight Ahead

This Prezi will show you how Tables, Graphs, and Equations are related and interrelated to each other.
by

Mike Leach

on 12 December 2012

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Transcript of Moving Straight Ahead

Moving
Straight
Ahead Rate Starting Point This book shows you how to relate
tables, graphs and equations. The starting point shows up in different
places in the three different representations
for linear functions. The RATE also shows up
in all three representations
of a linear relationship. Equation Graph Table This is the number that is
also called the y-intercept. y = mx + b This book demonstrates the
relationships in linear functions. In a Table, the y-intercept
has an x value of 0. Sometimes
you have to work the table until
you find this point. In graph, the y-intercept
is the place where the line
crosses the y axis (hence the
name y-intercept. In an equation, the y-intercept
is the constant term
(or b value) In a table, you must find
out how much the y values
are changing and divide this
number by how much the x
values are changing. In a graph, you must find the
vertical change and divide by
the horizontal change. In an equation, the rate shows
up as the coefficient of the
x variable. Tables will show a
pattern for the x and
the y variable. In this relationship, the y
change is 2 and the x change
is 1. The rate (or slope) is 2/1.
The y-intercept is 5. A graph is a visual
representation of
the pattern that you
see in the table. In this graph you will notice
that time is the independent
variable and distance is the
dependent variable.

This graph starts at (0,0)

The rate (or slope) is 60/1 or
60 km per hour

The equation is d = 60h + 0 The x and the y will always show up in a linear equation. They are in independent and dependent variables.
The m will always be the slope (or rate) and the b will always be the y-intercept (or start). Let's put everything together.
If you were saving $15 per week to buy a new pair of basketball shoes and had already saved $30, how long would it take to have enough to purchase your new pair of Jordans that cost $150? You could write an equation.
The start is 30, the rate is 15.

y = 15x + 30

Now replace the y with 150 and solve
for the x by using inverse operations. You could make a table. x y 0
1
2
3
4 30
45
60
75
90 Now continue until you
get to $150. You could make a graph. weeks money saved 2 4 6 8 0 50 100 150 Now look for the money value of $150 and follow this line across and down until you see the corresponding time.
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