Which equation represents the line that passes through the points (6 -3) and (-4 -9)

This answer will get deleted...but I do not have time to post the work on this one..

m= 3/5

b=-33/5



Thus, your equation.

Lets first find the slope:
(y₂-y₁)=m(x₂-x₁)
(-9-(-3)) = m(-4-6)
-6 = m(-10)
Isolate m:
= 
-10 and -10 cancels out
 =  m
= m

Now we know the slope, which is 

The equations is 
y = mx + c
Take any two coordinates from the given above

Im taking (6,-3)
Plug in those coordinates and the slope to the formula

-3 = (6) + c
-3 =  + c
Isolate c
-3 -  = c
= c
which gives us:
-6.6 = c

Now plug in the slope and c in the equation:

y = x+ (-6.6)
or
y = x +(-)