Question

4. Given point A (3, 8) and point B (-5, 1). Find the following:

a.) The coordinates of the midpoint of segment AB. Write your answer in this form: (x, y) (7 points)
b.) Using the distance formula, find the length of segment AB. Round to the nearest hundredth. (7 points)
c.) Find the slope of segment AB. (if your answer is a fraction, use the "/" symbol) (7 points)

Answer 1

a) (-1,4.5)

b)10.63 units

c)7/8

Explanation:

a) To find this, we use the midpoint formula

(x,y) = (x1 + x2)/2 , (y1 + y2)/2

(x1,y1) = (3,8)

(x2,y2) = (-5,1)

(x,y) = (3 -5)/2 , (8 + 1)/2 = (-1, 4.5)

b) To calculate the distance D between two points, we use the formula;

D = √(x2-x1)^2 + (y2-y1)^2

D = √(-5-3)^2 + (1-8)^2

D = √(-8)^2 + (-7)^2

D = √64 + 49

D = √113

D = 10.63 units

C) We use the slope formula here

m = (y2-y1)/(x2-x1)

m = (1-8)/(-5-3) = -7/-8 = 7/8