Question

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

Answer 1

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.