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

y=-6

Step-by-step 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)

Now the relationship is:

y = -3x

For x=2

y = -3(2) = -6

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in mathematics, a constraint is a condition of an optimization problem that the solution must satisfy. there are several types of constraints—primarily equality constraints, inequality constraints, and integer constraints. the set of candidate solutions that satisfy all constraints is called the feasible set.

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