Question

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

Answer 1

Answer:

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

Step-by-step explanation:

we need a function that when we plug the value of x, we get the given value of y.

In the coordinate point

(-9, -3)

the x and y values are:

x = -9

y = -3

so we can see that the value of y is one third of the x value (because -9/3 = -3):

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

this is also true for the secod point:

(-12, -4)

here the x and y values are:

x = -12

y = -4

again the y value is one third of the x value (because -12/3 = -4):  

$y=\frac{1}{3} x$ ⇒ this is the equation that represents the function.