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Which pair of lines are parallel? Select all that apply

A y=3 - 2x
y = 2x - 3
B. Y=2x – 1
y - 2x = 8
C.y - 4x = 6
y + 4x =-6
D. Y= -3x + 1
y + 4x =x - 1

User Jpnadas
by
7.8k points

1 Answer

3 votes

For this case we have that by definition, the equation of a line in the slope-intersection form is given by:


y = mx + b

Where:

m: It's the slope

b: It is the cut-off point with the y axis

By definition, if two lines are parallel then their slopes are equal.

Option A:


y = -2x + 3\\y = 2x-3

The slopes are not the same.

Option B:


y = 2x-1\\y = 2x + 8

The slopes are the same so the lines are parallel.

Option C:


y = 4x + 6\\y = -4x-6

The slopes are not the same.

Option D:


y = -3x + 1\\y = -4x + x-1 = -3x-1

The slopes are the same so the lines are parallel.

Answer:

The parallel lines are: Option B and Option D

User Ananth Joshi
by
8.6k points

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