SOLUTION: Find all points on the circle x^2 + y^2 = 100 where the slope is 3/4.

Algebra ->  Graphs -> SOLUTION: Find all points on the circle x^2 + y^2 = 100 where the slope is 3/4.      Log On


   

Question 1103053: Find all points on the circle x^2 + y^2 = 100 where the slope is 3/4.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Find the derivative first.
2xdx%2B2ydy=0
ydy=-xdx
dy%2Fdx=-x%2Fy
-x%2Fy=3%2F4
-4x=3y
y=-%284%2F3%29x
So then substituting,
x%5E2%2B%2816%2F9%29x%5E2=100
%289%2F9%29x%5E2%2B%2816%2F9%29x%5E2=100
%2825%2F9%29x%5E2=100
x%5E2=100%289%2F25%29
x%5E2=36
So,
x%5B1%5D=6 and x%5B2%5D=-6
Using the formula above,
y%5B1%5D=-%284%2F3%296=-8
and
y%5B2%5D=-%284%2F3%29%28-6%29=8
So its,
(6,-8) and (-6,8)
.
.
.
.
.
.
.