( 4,7) Â Â ( -1,2)
Step-by-step explanation:
y = x + 3
y = x^2 - 2x - 1
Set the equations equal to each other
x + 3 Â = x^2 - 2x - 1
Subtract x from each side
3 = x^2 -3x -1
Subtract 3 from each side
0 = x^2 -3x -4
Factor
0 = ( x-4) ( x+1)
Using the zero product property
x-4 =0 Â x+1 =0
x = 4 Â Â x=-1
Find y for each x
x=4 Â Â y =x+3 Â y = 4+2 Â y=7
x = -1 Â y = x+3 Â y = -1+3 y = 2
( 4,7) Â Â ( -1,2)