anonymous
  • anonymous
passing through (4,-2) and perpendicular to x=5/4y-2. Write in slope intercept form. For my answer i have y=-4/5x+6/5 is this correct?
Mathematics
jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
@jim_thompson5910
jim_thompson5910
  • jim_thompson5910
x=5/4y-2 x+2=5/4y 5/4y = x+2 y = 4/5x + 2(4/5) y = 4/5x + 8/5
jim_thompson5910
  • jim_thompson5910
the slope of y = 4/5x + 8/5 is 4/5 so the slope of x=5/4y-2 is also 4/5

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jim_thompson5910
  • jim_thompson5910
the perpendicular slope would be -5/4 because you flip the fraction and the sign of 4/5
jim_thompson5910
  • jim_thompson5910
so your answer will have a slope of -5/4 not -4/5
anonymous
  • anonymous
the original slope was 5/4 not 4/5
jim_thompson5910
  • jim_thompson5910
you first need to solve for y to get the slope
jim_thompson5910
  • jim_thompson5910
5/4 is not the original slope
anonymous
  • anonymous
soo it would then be -4/5 for perp wouldn't it?
jim_thompson5910
  • jim_thompson5910
-5/4 for the perp
jim_thompson5910
  • jim_thompson5910
4/5 is the original slope
anonymous
  • anonymous
okay

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