Co ordinate geometry

Question

(a) Find the gradient of the interval AB, where A = (3, 0) and B = (5, −2).
(b) Find a if AP ⊥ AB, where P = (a, 5).
(c) Find the point Q(b, c) if B is the midpoint of AQ.
(d) Find d if the interval AD has length 5, where D = (6, d).

 

 

Sorry if it's a lot of questions but i just don't get all of it.

Answer 1

Draw and label a diagram!

(a) m = (-2 - 0) / (5 - 3)        slope formula

(b) multiple values

(c) (5, -2) =((0.5)(3 + b), (0.5)(0 + c)) mid-point formula

(d) 25 = (6 - 3)² + (d - 0)²    distance formula