Question 98777: This one has completely stumped me.
Find the coordinates of the vertices of the figures formed by:
y≤x+2,x+y≤6, and y≥-2.
a. (0,0), (2,4),(8,-2)
b.(-4,-2),(2,4),(8,-2)
c.(-4,-2),(4,2),(8,-2)
d.(-2,-4),(2,4),(8,-2)
I have tried so hard but I just cannot figure this one out.
Answer by scott8148(6628)   (Show Source):
You can put this solution on YOUR website! working with them as equalities makes things easier ... y=x+2, x+y=6, y=-2
the vertices with y=-2 are easiest, just substitute -2 into the other equations
-2=x+2 ... -4=x, so vertex is (-4,-2) ... x+(-2)=6 ... x=8, so vertex is (8,-2)
find the last vertex with a simultaneous solution
y=x+2 so x+(x+2)=6 ... 2x+2=6 ... x=2 ... y=2+2 ... y=4 ... vertex is (2,4)
|
|
|
