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Step-by-step explanation:

To find the slope, we find the change in y over the change in x:

We'll get:

We can substitute a pair of points to find the y intercept. Let's use (15, 16). In this case, x is the y-intercept.

Because both the slope and y-intercept are 1, the equation will be:

1.4

2.3

step-by-step explanation:

the formula for the constant of variation is

y= kx

divide each side by x

y/x =kx/x

y/x =k

we know a and y

1.   y/x = k

4/1 =4

check the other values to make sure they are the same

8/2 = 4   12/3 =4   and 16/4 =4  

the constant of variation is 4

2.   y/x = k

3/1 =3

check the other values to make sure they are the same

6/2 = 3   9/3 =3   and 12/4 =3  

the constant of variation is 3

the two may have that, even a breakdown is probably offered