Which line is parallel to 4x + 2y = 0?A. y=2x+3B. -1/2×+3C. y=-2x+3D. y=1/2x+3

Mathematics · High School · Tue Nov 03 2020

Answered on

Given :

4x + 2y = 0

Parallel line condition:

a1/a2 = b1/b2 ≠ c1/c2

Here, only option (C) satisfy the above condition.

y = -2x + 3

2x + y -3 = 0

a1 = 4, b1 = 2, c1 = 0

a2 = 2 , b2 = 1 , c2 = -3

4/2 = 2/1 = 0/-3

2/1 = 2/1 = 0/-3

So, a1/a2 = b1/b2 ≠ c1/c2

Hence, these lines are parallel.