The endpoints of CD¯¯¯¯¯¯¯¯ are C(3,−5) and D(7, 9).

Question

The endpoints of CD¯¯¯¯¯¯¯¯CD¯ are C(3,−5)C(3,−5) and D(7, 9)D(7, 9).

Answer 1

(3,-5) and (7,9) have a midpoint (5,2)

distance between the endpoints = sqr(36+144) =sqr180=6sqr5

the line through the two endponts and through the midpont is (9+5)/(7-3) = 7/2 = (y-9)/(x-7)

y-9= 7x/2 -49/2

y = 7x/2 -31/2 is the equation in slope intercept form

or you could fit a parabola through the two points, or a higher degree equation