SOLUTION: Find the value of $a$ so that the lines with the given equations are perpendicular. \begin{align*} y &= 2x+13 \\ 6y+ax &= 6. \end{align*}

SOLUTION: Find the value of $a$ so that the lines with the given equations are perpendicular. \begin{align} y &= 2x+13 \\ 6y+ax &= 6. \end{align}

Question 1121470: Find the value of $a$ so that the lines with the given equations are perpendicular. \begin{align*}
y &= 2x+13 \\
6y+ax &= 6.
\end{align*}
Answer by ikleyn(52787) (Show Source): You can put this solution on YOUR website!
.

y = 2x + 13 has the slope of  2.


6y +ax = 6   is the same as  y =   and has the slope of  .


You want to have  =   (perpendicularity condition),  which leads you to


 = ;   hence,  a =  = 3.


Answer.  a = 3.

Solved.

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