TobinS537643 TobinS537643
  • 03-11-2022
  • Mathematics
contestada

Would lines 4x+3y=52 and 3x-4y=44 be perpendicular parallel or neither? I just need a brief explanation with the answer

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GoliathQ307268 GoliathQ307268
  • 03-11-2022

Would lines 4x+3y=52 and 3x-4y=44 be perpendicular parallel or neither?

step 1

Find out the slopes of the given lines

4x+3y=52

isolate the variable y

3y=-4x+52

y=-(4/3)x+52/3 ------> m=-4/3

3x-4y=44

4y=3x-44

y=(3/4)x-44/4 ------> m=3/4

step 2

Compare their slopes

m=-4/3 and m=3/4

the slopes are opposite reciprocal

that means

the lines are perpendicular

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