which function represents this relationship?

Question

x y
-6 3
-3 1
6 -5

A. y=-3/2x+4
B. y=-3/2x-14
C. y=-2/3x-9
D. y=-2/3x-1

Answer 1

Let's calculate the slope using the points (-6,3) and (-3,1):

m = (1-3)/(-3+6)
m = -2/3

Now that we have the slope, let's find the y-intercept using the point (-3,1):

1 = (-2/3)(-3) + b
1 = 2 + b
b = -1

Therefore, the equation of the line is:

y = -2/3x - 1

So, the correct answer is:

D. y = -2/3x - 1