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The graph of a proportional relationship contains the point (-12, 3)
What is the corresponding equation?
Enter your answer as a fraction in simplest form by filling in the boxes.
y =
Tor

Answer 1

`\displaystyle y=-(1)/(4)\ x`

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.

The value of k can be calculated if we know a point (x,y) that belongs to the graph. Substituting the point (-12,3):

3 = -12k

Solving for k:

`k=-(3)/(12)=-(1)/(4)`

Thus, the corresponding equation is:

`\boxed{\displaystyle y=-(1)/(4)\ x}`