Question

Determine if the linear equations are parallel, perpendicular, or neither.

y = - 2x, 2y = x, 4y = 2x + 4

a
perpendicular
b
neither
c
parallel

Answer 1

C. Neither

Explanation:

The first equation is

This equation is already in the slope-intercept form;

The slope of this equation is 2.

The second equation is .

This equation is also already in the slope-intercept form.

The slope of this equation is .

Since the two slopes are not the same, the two lines are not parallel.

If these two lines are perpendicular, then the product of their slopes is -1.

But which is not equal to -1.

Therefore the two lines are also not perpendicular.

The correct choice is C.