please help algebra 2 is really hard for me?

Question

Find the coordinates of the vertices of the figure formed by each system of inequalities.

1. y <0
x <0
y>equalto - x-1

Answer 1

Graph the three equations separately first as equalities. Then shade the common area.

The first two are strict inequalities, so they are dotted lines. The last one is >=, so it should be a solid line. The three vertices are where two of the lines meet. The first vertex is where the two coordinate axes meet, namely at the origin. You try the other two. Graph:

y = 0 (dotted line)
x = 0 (dotted line)
y = -x - 1 (solid line)

Then look at the inequalites to see which side to shade.

Answer 2

These three graphs form a triangle with vertices (0,0), (-1,0), and (0,-1).

Answer 3

x=No