Determine if the lines are parallel, perpendicular or neither. y = -6x -8 and -x + 6y = 12
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parallel
perpendicular
neither
To determine if two lines are parallel, perpendicular, or neither, we need to compare their slopes.
The lines are in the form y = mx + b, where m is the slope.
The given lines are y = -6x - 8 and -x + 6y = 12.
First, put the second equation in slope-intercept form:
-x + 6y = 12
6y = x + 12
y = (1/6)x + 2
Now we can see that the slopes of the two lines are -6 and 1/6. Since the slopes are negative reciprocals of each other (-6 * (1/6) = -1), the lines are perpendicular.