Answer:

Step-by-step explanation:
I hope I did this right:
So first thing to do is set up the equation.

Next thing to to is subtract 1/3 from both sides to get:

Next up, you will multiply each of the fractions by the opposing value
(multiply 1/8 by 3 and 1/3 by 8)


Alright almost done, by multiplying 24 by 5 you get 120, that will go in the numerator to make the math a lot easier.
K = 

Finally, you subtract 123 over 24 by 8 over 24.
K = 
Then just simplfy the 115/24 to get

Lines are perpendicular if the slope of one is the negative reciprocal of the other. In this case the slopes are -8/3 and 8/3, so while negative they are not reciprocal. So no, the two lines intersect but are not perpendicular.
estimate: 0.8
actual: 0.74285714285