Question

Select the correct answer.

When graphed, the three lines y = -x + 2, y = 2x − 1, and y = x − 2 intersect in such a way that they form a triangle.
What are the coordinates of the three vertices of this triangle?



A.
(2, 0), (0, 2), and (-1, -3)
B.
(0, 2), (2, 0), and (1, -1)
C.
(1, 1), (2, 0), and (-1, -3)
D.
(1, 1), (0, 2), and (-1, -3)
E.
(2, 0), (1, -1), and (-1, -3)

Answer 1

C. (1, 1), (2, 0), and (-1, -3)

Explanation:

Answer 2

9514 1404 393

Answer:

C. (1, 1), (2, 0), and (-1, -3)

Explanation:

I find it works well to solve this graphically. That seems easier than solving 3 sets of simultaneous equations.

The points of intersection of the three lines are ...

(1, 1), (2, 0), and (-1, -3) . . . . matches C