maddog2070 maddog2070
  • 06-09-2020
  • Mathematics
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Use slopes to determine if the lines 5x + 4y = 1 and 4x + 5y = 3 are perpendicular

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Wolfyy
Wolfyy Wolfyy
  • 06-09-2020

Change both equations into slope-intercept form.

5x + 4y = 1

4y = 1 - 5x

y = 1/4 - 5/4x

y = -5/4x + 1/4

4x + 5y = 3

5y = 3 - 4y

y = 3/5 - 4/5y

y = -4/5y + 3/5

The lines are not perpendicular because the slope of the second line is not the opposite of the original line.

Best of Luck!

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