Question

Determine if the lines are parallel, perpendicular or neither. y = -6x -8 and -x + 6y = 12

Answer 1

To determine if the lines are parallel or perpendicular, we need to compare their slopes.

First, let's put the second equation in slope-intercept form (y = mx + b):

-x + 6y = 12
6y = x + 12
y = (1/6)x + 2

Now we can see that the slope of the first line (y = -6x - 8) is -6 and the slope of the second line (y = (1/6)x + 2) is 1/6.

Since the slopes are not equal and not negative reciprocals of each other, the lines are neither parallel nor perpendicular.