Question

Decide if the two lines y = 3x - 3 and y = 3x - 6 are parallel, perpendicular, or neither. Explain your answer.

First select whether the lines are PARALLEL, PERPENDICULAR, or NEITHER.
Then select an explination:
*the slopes are equal
*the slopes are negative of each other
*the slopes are reciprocals of each other
*the slopes are negative reciprocals of each other​

Answer 1

The given lines are y = 3x - 3 and y = 3x - 6.

To determine if the lines are parallel, perpendicular, or neither, we need to compare their slopes.

Both lines have the same slope of 3. Therefore, the slopes are equal.

Since the slopes are equal and not negative, reciprocal, or negative reciprocal of each other, the lines are parallel.

Therefore, the two lines y = 3x - 3 and y = 3x - 6 are parallel.