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photoshop1234 [79]
3 years ago
14

This relation is an inverse variation. {(–1, 8), (4, –2), (–2, 4)} Which equation represents this relation?

Mathematics
1 answer:
SOVA2 [1]3 years ago
7 0

Answer:

y = -\frac{8}{x}

Step-by-step explanation:

Given

Inverse Variation:

Points: \{(-1, 8), (4, -2), (-2, 4)\}

Required

Determine the equation of the relation

An inverse relation is represented as:

y = \frac{k}{x}

Where k = constant of variation

Make k the subject:

k = xy

When x = -1, y = 8

So, we have:

k = -1 * 8

k = -8

When x = 4, y = -2

k = 4 * -2

k = -8

When x = -2, y = 4

k= -2 * 4

k = -8

From above calculations, we've established that:

k = -8

Substitute -8 for k in y = \frac{k}{x}

y = \frac{-8}{x}

y = -\frac{8}{x}

Hence, the equation is:

y = -\frac{8}{x}

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