Copy and complete the table below for the graph of y = 2x + 1. What values should replace A and B?

Understand the Problem

The question is asking to complete a table based on the linear equation y = 2x + 1. It requires finding the values of A and B for given x values.

Answer

\( A = 1 \), \( B = 5 \)

Steps to Solve

Understanding the equation The given equation is ( y = 2x + 1 ). We will substitute the values of ( x ) into this equation to find the corresponding values of ( y ).
Finding A for ( x = 0 ) Substituting ( x = 0 ): [ y = 2(0) + 1 = 1 ] So, ( A = 1 ).
Finding B for ( x = 2 ) Substituting ( x = 2 ): [ y = 2(2) + 1 = 4 + 1 = 5 ] So, ( B = 5 ).
Final values The completed values for the table are:

When ( x = 0 ), ( y = 1 ) (A).
When ( x = 2 ), ( y = 5 ) (B).

The values that should replace A and B are:

( A = 1 )
( B = 5 )

More Information

This equation represents a linear relationship where for every unit increase in ( x ), ( y ) increases by 2. The constant ( 1 ) indicates that when ( x = 0 ), the output ( y ) starts from ( 1 ).

Tips

Substituting ( x ) incorrectly into the equation can lead to wrong values for ( y ).
Forgetting to apply the equation ( y = 2x + 1 ) completely when calculating values.

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