SOLUTION: determine all the values of c so that the lines cy+6x=14 and cy-2x=4 are perpendicular. How do you do this?

Algebra ->  Linear-equations -> SOLUTION: determine all the values of c so that the lines cy+6x=14 and cy-2x=4 are perpendicular. How do you do this?      Log On


   

Question 786044: determine all the values of c so that the lines cy+6x=14 and cy-2x=4 are perpendicular. How do you do this?
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
You can transform both into slope-intercept form.
cy=-6x+14
y=%28-6%2Fc%29x%2B14%2Fc

cy=4+2x
y=%282%2Fc%29x%2B4%2Fc

You would require that %28-6%2Fc%29=-%28c%2F2%29 which would be one slope is the negative reciprocal of the other slope.
6%2Fc=c%2F2
2c%286%2Fc%29=%282c%29%28c%2F2%29
12=c%5E2
c=+%2B-+2%2Asqrt%283%29