X and y vary inversely means y is inversely proportional to x, this means:
y=k/x, where k is a constant.
We are given that when x=-4, y=7/2, we replace these values to find k.
7/2=k/-4
k= (-4*7)/2=-14
So we have y=-14/x
Therefore, when x=4, y=-14/4= -7/2
Answer: the slope of perpendicular lines are opposite and reciprocal.
First line slope is 3/2. The slope of the second line is - 2/3
First line slope is 2. The other line slope is -1/2
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In mathematics, an inverse function (or anti-function) is a function that "reverses" another function: if the function f applied to an input x gives a result of y, then applying its inverse function g to y gives the result x, and vice versa, i.e., f(x) = y if and only if g(y) = x.
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