Question

Determine the rate of change for the equation
1/6 y + 3/8 x = 24

Answer 1

[-1/(6y^2)]*dy/dx-[3/(8x^2)]=0
dy/dx={3/(8x^2)]*(-6y^2)
dy/dx=-9y^2/4x^2

Answer 2

What does the d represent?

Answer 3

dy represents infinitesimal change in y and dy/dx represents change in y with respect to x instantaneously. dy/dx is the rate change of y w.r.t x

Answer 4

so do I follow the equation for finding the slope y=mx+b ?

Answer 5

Yes. Get it into the form
y = mx + b
once it is in that form, the slope of the line is m

Answer 6

Ok can you help me with that. The fractions are loosing me here.

Answer 7

@keegq
1/6 y + 3/8 x = 24
\[\frac{ 1 }{ 6 } \frac{ dy }{ dx } + \frac{ 3 }{ 8 } = 0\]\[\frac{ dy }{ dx } = \frac{ -3 }{ 8 } *6\]\[\frac{ dy }{ dx } = \frac{ -9 }{ 8 }\]
I don't know what you did up there but it ain't right.

Answer 8

Thank you for your help!!

Answer 9

oops, i didnt mean to reply to you keegq. I meant to do @mayankD

Answer 10

I knew what you meant

Answer 11

So the rate of change is -9/8

Answer 12

Dude are y and x in the numerator or the denominator?