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Anastasy [175]
3 years ago
8

A direct variation function contains the points (–9, –3) and (–12, –4). Which equation represents the function?

Mathematics
1 answer:
vladimir1956 [14]3 years ago
4 0

Answer: third option.

Step-by-step explanation:

By definition, a direct variation function has the form shown below:

y=kx

Where k is a constant.

Then, knowing the given points, you can calculate k with the formula for calculate the slope of a line:

m=\frac{y_2-y_1}{x_2-x_1}=\frac{-4-(-3)}{-12-(-9)}=\frac{1}{3}

Substituting k into  y=kx, you obtain:

y=\frac{1}{3}x\\\\y=\frac{x}{3}

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