Question

This graph shows a system of equations.

The graph has two lines, one line is passes through the points (-2, 0), (-1, 2), (0, 4), (1, 6) and is labeled as y = 3x plus 4. The other line is passes through the points (3, 2), (2, 4), (1, 6), (0, 8), and (-1, 10) and is labeled as y = minus 2x plus 8.

What is the solution to the system of equations?

A.
(6, 1)

B.
(1, 6)

C.
(0, 8)

D.
(–2, 0)

Answer 1

The two lines meet where y = 2x + 4 equals y = −2x + 8. Solve:

2x + 4 = −2x + 8 → 4x = 4 → x = 1, y = 2(1) + 4 = 6.

So the solution is (1, 6). Answer: B.