Ineed this soonthe graph of a proportional relationship contains the point (-12,3).what is the corresponding equation? enter your answer as a fraction in simplest form in the box.

The corresponding equation of the proportional relationship is:

y = - (1/4) x

Step-by-step explanation:

A proportional relationship has the form:

y=kx  (1)

where k is a constant of proportionality

In this case the graph contains the point:

(-12,3)=(x,y)→x=-12, y=3

Then replacing x by -12 and y by 3 in the equation (1):

(1) y=kx→3=k(-12)→3=-12k

Solving for k: dividing both sides of the equation by -12:

3/(-12)=-12k/(-12)

-3/12=k

k=-3/12

Simplifying the fraction dividing the numerator and denominator by 3:

k=-(3/3) / (12/3)

k=-1/4

Then, replacing k by -1/4 in the equation (1):

(1) y=kx→y=-(1/4)x  

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