Yes this is the correct answer. The slope field shown is the differential equation dy/dx = x+y
All points along the line x+y = k, for some constant k, will have the same tangent slope k. For example, the line x+y = 0 will have every point with tangent slope 0 for the solution y(x). It may not be 100% clear, but this graph has horizontal tickmarks on the line x+y = 0, or the tickmarks are close to being horizontal. Using geogebra, I checked the others and they produced completely different graphs, which allowed me to rule them out.
They ate 3/8 of the pie because 1/4=2/8 .and 1/8+2/8=3/8. Hope this helps
4z>-60
divideby 4
z>-15
x+19 <=-5
subtract 19 from each side
x<= -24