Write the linear equation that gives the rule for this table

To determine the correct linear equation from the given options based on the table, we need to find the relationship between the values of ( x ) and ( y ). Each equation is in the form of ( y = mx + b ), where ( m ) is the slope and ( b ) is the y-intercept.

Assuming that the slope is consistent across the table (which appears to be -7 from the options), we would check the ( y )-intercept to find the correct equation.

For example, if we assume ( x = 0 ) gives us the y-intercept directly:

– If ( y = -7(0) + 6 ), then ( y = 6 ) (y-intercept).

– If ( y = -7(0) + 1 ), then ( y = 1 ).

– If ( y = -7(0) + 15 ), then ( y = 15 ).

Compare these intercepts with the table values at ( x = 0 ) to get the correct answer.

If the ( y )-intercept is 6 and the slope is -7, then the correct linear equation from the options given would be:

A. y = -7x + 6

This means the equation correctly reflects the relationship between the values in the table. If you provide those ( x ) and ( y ) values, we can double