Chose the correct equation for the line shown on the graph?
y= -1/4x - 4
y= 1/4x -4
y= -1/4x - 1
y= 1/4x - 1

Y= -1/4x - 1

Step-by-step explanation:

we know that the equation of the line is:

y=mx+b

m= slope= (y2-y1)/(x2-x1)

we have two points giver from the graph:

point 1: (-4,0)

point 2: (4,-2)

we to find the slope:

m=(-2-0)/(4-(-4))

m=-2/8

m=-1/4

we need to find "b"

using the point (-4,0)

we have:

0=(-1/4)*(-4)+b

0=1+b

so we have b=-1

finally we have that the answer is:

y=-1/4x-1