Question

15PTS PLEASE HELP ASAP!
(dont write random answers pls)
look at the pic attached:

Answer 1

the answer would be

D(5,-2).

Answer 2

D(-6, 1)

Explanation:

To determine the solution we can start by calculating the slope of AB;

A(-1, 4), B(2, -5)

m = -5 - 4 / 2 - (-1) = -9 / 3 = -3

Then CD, if to be perpendicular, should have the 'negative reciprocal' of the slope of AB. In other words it should have a slope of 1/3. We are given point C as (3, 4) so let's take each of the given options for point D, and find the slope using the two points. If the slope is 1/3rd then that is the correct option.

Now I already know the answer, so instead of going through all the options I will just check the slope with the correct answer choice. You will find the slope to be 1/3rd;

C(3, 4), D(-6, 1)

m = 1 - 4/- 6 - 3 = -3/-9 = 1/3rd

Correct, as you can see

So your solution is option c