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2 answers:
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Before answering, keep in mind that parallel lines have equal slopes and perpendicular lines have negative reciprocal slopes. Each problem has you find the slope and then use that rule.
For line F,
Let x = 7, x
= 9, y
= 13, y
= -3
m = 8
For line E, the calculations are similar and the slope is 3/5. The perpendicular line would have m = -5/3.