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Svetradugi [14.3K]
3 years ago
12

Write and graph the inverse variation in which y = 8 when x = –4.

Mathematics
1 answer:
sweet-ann [11.9K]3 years ago
3 0
For this case we have that an inverse variation in a function is given by:
 y = k / x

 For this case, we must find the value of the constant k.
 To do this, we substitute the values of x = -4, y = 8.
 We have then:
 8 = k / -4

 Clearing k we have:
 k = (8) * (- 4)

k = -32
 Substituting the value of k we have that the inverse variation is:
 y = -32 / x

 Note: see attached image.
 Answer:
 
y = -32 / x

 See attached image.

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m =-6

Step-by-step explanation:

To solve for the unknown variable, m, we have to get m by itself. Perform the opposite of what is being done to the equation.

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9 is being subtracted from-8m, so add 9 to both sides. Addition is the opposite of subtraction.

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