Question

WILL MARK BRAINLIEST Select the correct answer. An inverse variation includes the point (3,-4). Which point would also belong in this inverse variation?

Answer 1

Answer:

If we have two quantities x and y, an inverse variation can be written as:

y = k/x

where k is a constant.

Now, we know that for this particular inverse variation the point (3, -4) is included.

Then we can find the value of k by replacing the values of the point in the general equation:

-4 = k/3

k = -4*3 = -12

Then our inverse variation is:

y = -12/x.

Then if we want another point that also does belong in the inverse variation, we can give x a different value and solve the equation for y.

For example, if x = 1

y = -12/1 = -12

then the point (1, -12) also does belong in the inverse variation.

if x = 6

y = -12/6 = -2

the point (6, -2) also does belong to the inverse variation