Question

Find the slope of the line whose equation is 8y = 4 - 3x.

-3/8
-8/3
2

Answer 1

First, remember
\[y=mx+b\]
where m is the slope so right now you have

\[8y=4-3x\]
and you want

\[y=f(x)\]
or in otherwords you want y without the 8 or the constant

Answer 2

y=(4-3x)/8
slope is y'
that is the derivative of y
y'=dy/dx
y'=((4-3x)/8)'
y'=-3/8

Answer 3

derivatives are not needed for this

Answer 4

if you divide by 8 and put it in the
\[y=mx+b\] form, you'll see the slope

Answer 5

yes, derivatives are not needed for such simple functions, but the generic approach is always more useful, as it can be used for all rational functions. For a simple function of type y=ax+b, the slope is simply a