Linear Equations From Tables

Linear equations can be derived from a table of values.

Linear Equations From Tables

Linear equations can be derived from a table of values.

We can use the values given in the table to find the slope, then use one of the given points to find the y – intercept.

Linear Equations From Tables

Linear Equations From Tables

EXAMPLE # 1 : Find the equation of the line from the given table

x Y

-1 1

0 4

1 7

2 10

3 13

Linear Equations From Tables

EXAMPLE # 1 : Find the equation of the line from the given table

x Y

-1 1

0 4

1 7

2 10

3 13

Step 1 : Find the slope

Linear Equations From Tables

EXAMPLE # 1 : Find the equation of the line from the given table

x Y

-1 1

0 4

1 7

2 10

3 13

Linear Equations From Tables

EXAMPLE # 1 : Find the equation of the line from the given table

x Y

-1 1

0 4

1 7

2 10

3 13

Linear Equations From Tables

EXAMPLE # 1 : Find the equation of the line from the given table

x Y

-1 1

0 4

1 7

2 10

3 13

Linear Equations From Tables

EXAMPLE # 1 : Find the equation of the line from the given table

x Y

-1 1

0 4

1 7

2 10

3 13

Linear Equations From Tables

EXAMPLE # 1 : Find the equation of the line from the given table

x Y

-1 1

0 4

1 7

2 10

3 13

Linear Equations From Tables

EXAMPLE # 1 : Find the equation of the line from the given table

x Y

-1 1

0 4

1 7

2 10

3 13

Linear Equations From Tables

EXAMPLE # 1 : Find the equation of the line from the given table

x Y

-1 1

0 4

1 7

2 10

3 13

Linear Equations From Tables

EXAMPLE # 2 : Find the equation of the line from the given table

Linear Equations From Tables

EXAMPLE # 2 : Find the equation of the line from the given table

Linear Equations From Tables

EXAMPLE # 2 : Find the equation of the line from the given table

Linear Equations From Tables

EXAMPLE # 2 : Find the equation of the line from the given table

Linear Equations From Tables

EXAMPLE # 2 : Find the equation of the line from the given table

Linear Equations From Tables

EXAMPLE # 2 : Find the equation of the line from the given table

Linear Equations From Tables

EXAMPLE # 3 : Frank is trying to save money for a summer vacation. The table below shows his bank account balance for the past 5 weeks. Using the table, how much money will be in his account after the 10th week ?

Week (x)

Balance (y)

1 500

2 850

3 1200

4 1550

5 1900

Linear Equations From Tables

EXAMPLE # 3 : Frank is trying to save money for a summer vacation. The table below shows his bank account balance for the past 5 weeks. Using the table, how much money will be in his account after the 10th week ?

Week (x)

Balance (y)

1 500

2 850

3 1200

4 1550

5 1900

Step # 1 : Find the equation

Linear Equations From Tables

EXAMPLE # 3 : Frank is trying to save money for a summer vacation. The table below shows his bank account balance for the past 5 weeks. Using the table, how much money will be in his account after the 10th week ?

Week (x)

Balance (y)

1 500

2 850

3 1200

4 1550

5 1900

Linear Equations From Tables

EXAMPLE # 3 : Frank is trying to save money for a summer vacation. The table below shows his bank account balance for the past 5 weeks. Using the table, how much money will be in his account after the 10th week ?

Week (x)

Balance (y)

1 500

2 850

3 1200

4 1550

5 1900