Given the equation:
y = 6x - 6
Let's find the table that contains only points that lie on the line represented by the equation.
To find the correct table, input the given values of x and evaluate to find y. If the values of the calculated y corresponds with the given value of y, the table is correct.
Table A:
When x = 0, y = 6
Substitute 0 for x:
y = 6(0) - 6
y = 0 - 6
y = -6
This table is not correct
Table B:
When x = 2, y = 6
Substitute 2 for x:
y = 6(2) - 6
y = 12 - 6
y = 6
When x = -2, y = -18
Substitute -2 for x:
y = 6(-2) - 6
y = -12 - 6
y = -18
Since the value of x corresponds with the calculated value, this table (Table B) contains only points that lie on the line represented by the equation: y = 6x - 6
ANSWER:
Table B