Which lines are parallel?

Parallel lines have equal slopes; both have slope 2.

Two lines are perpendicular if their slopes are 3 and what value?

Perpendicular slopes are negative reciprocals, so -1/3.

Multiply each coordinate by 3: (6, -3).

The horizontal distance is |3 - (-3)| = 6.

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A figure is rotated 90 degrees counterclockwise about the origin. Point (2, 3) maps to?