Question

Solve the system by graphing.

y = 13
x + 2

y = –x – 2

Part A

Select the correct graph.
A. Two lines graphed on a coordinate plane. The decreasing line has Y intercept at negative 2 and the increasing line has Y intercept at 2. The lines intersect at the point, negative 3, 1. B. Two lines graphed on a coordinate plane. The decreasing line has Y intercept at 2 and the increasing line has Y intercept at 2. The lines intersect at the point, zero, 2. C. Two lines graphed on a coordinate plane. The decreasing line has Y intercept at 2 and the increasing line has Y intercept at negative 2. The lines intersect at the point, 3, 1. D. Two lines graphed on a coordinate plane. The decreasing line has Y intercept at negative 2 and the increasing line has Y intercept at negative 2. The lines intersect at the point, zero, negative 2.
Part B

solution: (
,
)

Answer 1

It looks like the first equation is y = (1/3)x + 2.

Part A: A (the increasing line has y‑intercept 2, the decreasing line has y‑intercept −2, intersecting at (−3, 1)).

Part B: solution: (−3, 1)

Work: (1/3)x + 2 = −x − 2
(4/3)x = −4 → x = −3
y = (1/3)(−3) + 2 = 1.