y = -x + 3 and y = x - 1 Responses A (-1,2)(-1,2) B (0,3)(0,3) C (1,0)(1,0) D (1,2)(1,2) E (2,1)

Answer 1

To find the points of intersection between the two equations y = -x + 3 and y = x - 1, set them equal to each other:

-x + 3 = x - 1
3 + 1 = x + x
4 = 2x
x = 2

Now, plug this value of x back into one of the original equations to find y:

y = -2 + 3
y = 1

Therefore, the point of intersection is (2, 1), which corresponds to option E.