Question

Determine whether the graphs of the given equations are parallel, perpendicular, or neither

y= 2x+13
Y= -2x+2
A.Parallel
B.Perpendicular
C.Neither

Answer 1

Answer: the answer should be A= Parallel

Explanation:

Answer 2

C. Neither

Explanation:

The first equation is
`y=2x+13`

This equation is already in the slope-intercept form;
`y=mx+c`

The slope of this equation is 2.

The second equation is
`y=-2x+2`.

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

The slope of this equation is
`-2`.

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
`2* -2=-4` which is not equal to -1.

Therefore the two lines are also not perpendicular.

The correct choice is C.