Question

A triangle shows points A(2,8), B(14,4) and C(4,2). M is the midpoint of AC.
a. Write down the coordinates of M
b. Calculate the gradient of line AB.
c. Find the equation of the line parallel to AB that passes through My.

Answer 1

(a) M = (A+C)/2 for each coordinate - this gives (h,k)
(b) m = (4-8)/(14-2)
(c) you have a point (h,k) and a slope m, so use the point-slope form of the equation
y-k = m(x-h)