Coordinate Geometry - Topic 13

Question 1

Find the length of a line:

X (1,-5) Y (9,1)

Answer 1

L = √(x2 - X11)2 + (y2 - y1)2
L = √(9 - 1)2 + (1- -5)2
L = √8(2) + 6(2)
L = √100
L = 10

Question 2

Find the midpoint of a line:

X (1,-5) Y (9,1)

Answer 2

M = (X1 + x2/2, y1 + y2/2)
M = (1 + 9/2, -5 + 1/2)
M = (10/2, -4/2)
M = (5,-2)

Question 3

Find the gradient of a line:

X (2,1) Y (6,3)

Answer 3

G = y2 - y1 / x2 - x1
G =  3 - 1 / 6 - 2 
G = 2/4
G = 1/2