Me i really need and show your work

Since the graph is a straight line, we know that this equation follows some sort of y = mx + b format.

Let's take the points that are on the axes (-4,0) and (0,-3)
use them to find the slope = (0 - (-3))/(-4 - 0) = 3/(-4) = -3/4
this is our m in the general equations above
we now have y = (-3/4)x + b
b is the y-intercept which is where x = 0 we already have that point in (0,-3)

plug the -3 in for b to give as a final
y = (-3/4)x - 3