Respuesta :

first you need to find the equation of the line (y = mx + b, where m is slope and b is y intercept).

for slope, we have two points, (-1,-3) and (0,-5), so the slope of the line is (y2-y1)/(x2-x1) = 2/-1 = -2.

for y intercept, we just see that the line crosses the y axis at y = -5, so the y intercept is -5.

the equation for the line is y = -2x -5.

now, we see that (0,0) is in the shaded region, so we plug that into our equation and get 0 = -2(0) - 5 which is 0 = -5. So, to make this equation work, we replace the equal sign with > because we know that (0,0) is in our solution set (it's in the shaded reigon!) and 0 is greater than -5. So our equation is y > -2x - 5

yay :D