which equation, in slope-intercept form, matches the equation shown?A) y = -4/7x + 1B) y = 4/7x - 4 C) y = 5/6x + 1 D) y = -5/6x - 4

Okay, here we have this:
We need to find the equation of the line corresponding ti the graph,
First let's calculate the slope using the points (0,-4), (6,-9):
m=(-9-(-4))/(6-0)
m=(-9+4)/6
m=-5/6
And we can see in the graph that the y intercept is b=-4
So, replacing in the equation form we obtain:
y=mx+b
y=-5/6+(-4)
y=-5/6-4
Finally we obtain that the correct answer is the option D.