Find all points on the circle (x^2) + (y^2) = 676 where the slope is 5/12

Implicit defferentation

remember that dy/dx y= dy/dx

so
take derivitive of both sides

solve for
minus 2x both sides

divide both sides by 2y



when is the slope equal to
solve for




find where the circle and this line intersects

substitute for y




times both sides by

sqrt both sides, take positive and negative roots
x=+/-10

sub back






the points are (10,-24) and (-10,24)