Question

let Q (x,y) and P (3,4) be points on the circle x^2+y^2=25. Find the slope, m, of the line joining P and Q in terms of x.

Answer 1

x^2+y^2=25
do u know how to find its diff ?

Answer 2

i mean do u kno how to diffrentiate it ?

Answer 3

nope. I know how to differentiate linear equations, but not circle equations

Answer 4

will
\(\large x^2+y^2=25\)
\(\large y=\sqrt{25-x^2}\)

Answer 5

oh ok. So then would I rewrite the coordinates for Q as\[(x,\sqrt{25-x^2})\] and solve for the slope as y/x ?

Answer 6

using point P with Q

Answer 7

yess

Answer 8

Would the slope be\[\frac{ 4-\sqrt{25-x^2} }{ 3-x }\]

Answer 9

but not y/x
dy/dx (derivative)

Answer 10

ok. thank you so much for your help.

Answer 11

np :)