Question

Line n is shown on the coordinate grid. The table of ordered pairs represents some points on line p.

n,. x,. y,. 1, 1,. 0, negative 2,.
Line p
x y
−1 6
0 4
1 2
2 0

Which system of equation represents line n and line p?
A
3x − y = 2
2x + y = 4
B
3x + y = −2
2x + y = 4
C
3x − y = 2
x + 2y = 4
D
3x + y = −2
x + 2y = 4

Answer 1

Answer: A.

Reason: Line p passes through (0,4) and (1,2), so slope = -2 and y = -2x + 4 → 2x + y = 4.
Line n passes through (0,−2) and (1,1), so slope = 3 and y = 3x − 2 → 3x − y = 2.