SOLUTION: Find all points on the circle x^2 + y^2 = 100 where the slope is 3/4 smaller y value (x,y): larger y value (x,y):

Algebra ->  Graphs -> SOLUTION: Find all points on the circle x^2 + y^2 = 100 where the slope is 3/4 smaller y value (x,y): larger y value (x,y):      Log On


   

Question 1022663: Find all points on the circle
x^2 + y^2 = 100
where the slope is 3/4
smaller y value (x,y):
larger y value (x,y):
Answer by josgarithmetic(39621) About Me  (Show Source):
You can put this solution on YOUR website!
y%5E2=100-x%5E2
y=0%2B-+sqrt%28100-x%5E2%29

dy%2Fdx=0%2B-+%281%2F2%29%28100-x%5E2%29%5E%28-1%2F2%29%2A%28-2x%29

dy%2Fdx=0%2B-+%281%2F2%29%282x%29%2Fsqrt%28100-x%5E2%29

dy%2Fdx=0%2B-+x%2Fsqrt%28100-x%5E2%29

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x%2Fsqrt%28100-x%5E2%29=3%2F4

x%5E2%2F%28100-x%5E2%29=9%2F16

16x%5E2=9%28100-x%5E2%29

16x%5E2=900-9x%5E2

25x%5E2=900

5x=0%2B-+30

highlight%28x=0%2B-+6%29, and you can find the corresponding y coordinate for each.