Answer:
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
