Will someone me understand this what is the equation for the line? enter your answer in the box.

Hey there! :D

So, I know this can be very, very confusing. I will try my best to explain this so it is understandable. 

We need to start finding it by finding the slope of the line.

You can use the rise/run method, but I prefer to put it into this equation:

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

Plug in a pair of points on the line. (-2,0) and (0,-4) 

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

The slope is -2. 

So, plug that into point-slope form. Use slope for m, and (x1,y1) as a pair of points. 

y-y1= m(x-x1)

y-(-4)= -2(x-0)

y+4=-2(x-0)

y+4= -2x

Now, lastly, we just need to put in in slope-intercept form.

y=mx+b

Subtract 4 on both sides. 

y=-2x-4 <== equation of the line

I hope this helps!
~kaikers