Question

Which pair of lines are parallel? Select all that apply

Answer 1

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