Cd is perpendicular to ab and passes through point c (5,12).

if the coordinates of a and b are (-10, -3) and (7, 14), respectively, the x- intercept of cd is:

(12, 0)
(15, 0)
(17, 0)
or (19,0).

the point:

(-5, 24)
(-2, 19)
(7, -10)
or (8, 11)

lies on cd.

The slope of AB is





So the slope of CD is


The equation for CD is then

We find by plugging in the point :




The x-intercept is found by setting equal to 0:


which gives .

For the second part, we just plug in the different points and see if the equation is true:

(doesn't work)

So the answer must be .