susieq1979 susieq1979

24-06-2020
Mathematics

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Use slopes to determine if the lines 4x−7y=9 and 7x+4y=5 are perpendicular.

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SvetkaChem SvetkaChem

24-06-2020

Answer:

Perpendicular.

Step-by-step explanation:

4x - 7y = 9 ---> 7y = 4x - 9 ---> y = 4/7 x - 9/7, slope= 4/7

7x + 4y = 5 ---> 4y = - 7x + 5 ---> y = - 7/4 x + 5/4, slope = - 7/4

lopes are negative-reciprocal , so these lines are perpendicular.

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