i cant figure it out

Hello Heather,

For a line to be parallel it must have the same slope as another line therefore:

y = mx +b translated from your data would be

(1) y = 2/3x + b

now we know if x = 6 then y = 7, so solve for the intercept this way

7 = 2/3(6) + b

Then substitute b in the original equation (1)

Once you have the equation of the new line then confirm that (6,7) is a point by substitution as I have done this already. You can plot both lines to be sure but they will be parallel.

The interesting notion about this question is that it almost makes you think that both lines have the point (6,7) common but that is not the case.

Hope this helps!!

Art

## Comments

Christopher,

I specifically did not finsh this solution for the student to do so.

Our answers are equivalent. Please read an answer before submitting one.

Kind Regards,

Art

I read your answer before submitting, there is more than one method to solve this problem, I was showing an alternate method. If you read Wyzant's explanation of the purpose of the questions and answers section it says, "Students ask questions and vote on the best answers." I provided an answer so the student could double check that they are following along correctly.