Tell whether the lines for each pair of equations are parallel, perpendicular, or neither. y=-x-
12
-6x - 12y = 21

neither

None.

Step-by-step explanation:

To be parallel, slope must be equal

To be perpendicular, product of slope must be -1

For Slope of y=-x- 12

x+y=-12

Slope= - coefficient of x/coefficient of y = -1/1=-1

For Slope of -6x - 12y = 21

Slope= - coefficient of x/coefficient of y = -(-6)/-12=-1/2

They are neither same (-1,1/2) nor is their product -1(-1*-1/2=1/2)

Thus, they are neither parallel nor perpendicular.

c

step-by-step explanation:

there is vertical asymptote at x = 2 and x = 0

vertical asymptote occurs at the points where the denominator is 0. so we can say that

x = 2 occurs when there is a factor (x-2) in the denominator, and

x = 0 occurs when there is a factor "x" in the denominator

thus, the denominator of the equation would have "x * (x-2)", this is option c only. that's the correct answer.