Question

A direct variation passes through the point (-3,9) given y varies directly as x find the value of y when x is 2

Answer 1

y=-6

Explanation:

Proportions

A direct proportion is a relation between variables where their ratio is a constant value. This means that if y and x are proportional, then:

y = kx

Where k is the constant of proportionality.

Substituting x=-3 y=9:

9 = k(-3)

`k=(9)/(-3)=-3`

Now the relationship is:

y = -3x

For x=2

y = -3(2) = -6