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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

Tweet## Mike Leach

on 12 December 2012#### 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.

Full transcriptStraight

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.