Which expression is equivalent to the following complex fraction? StartFraction 1 Over x EndFraction minus StartFraction 1 Over y EndFraction divided by StartFraction 1 Over x EndFraction + StartFraction 1 Over y EndFraction

The equivalent fraction of the given fraction is needed.

The equivalent fraction is

The given fraction is

Simplifying the fraction

The equivalent fraction is

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Step-by-step explanation:

We are given that fraction

We have to find the expression which is equivalent to given  fraction .

Substitute the values  then, we get

We know that

Using the property then, we get

This is required expression which is equivalent to given expression.

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)