What is the slope of (-2)/x-(-4)/y =1 ?

The slope of (-2)/x-(-4)/y =1 is 8/((2+x)^2)

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slope of (-2)/x-(-4)/y =1

slope

\frac{- 2}{x} - \frac{- 4}{y} = 1

\frac{8}{( 2 + x ) ^{2}}

Solution steps

\frac{- 2}{x} - \frac{- 4}{y} = 1

Isolate

y

for

\frac{- 2}{x} - \frac{- 4}{y} = 1 : y = \frac{4 x}{2 + x}; x \neq = - 2

In order to find the slope of the function, take the derivative of

\frac{4 x}{2 + x}

\frac{d}{d x} (\frac{4 x}{2 + x}) = \frac{8}{( 2 + x ) ^{2}}

\frac{8}{( 2 + x ) ^{2}}

What is the slope of (-2)/x-(-4)/y =1 ?
The slope of (-2)/x-(-4)/y =1 is 8/((2+x)^2)