Question 6:
The point M (x, 4), is the midpoint of the line joining straight line Q (-2, -3) and R (14, y)


The value of x and y are

Solution:

x= 2+14 2 x= 12 2 x=6 4= 3+y 2 8=3+y y=11


Question 7:
In diagram below, PQR is a right-angled triangle. The sides QR and PQ are parallel to the y-axis and the x-axis respectively. The length of QR = 6 units.



Solution:
x-coordinate of R = 3
y-coordinate of R = 1 + 6 = 7
R = (3, 7)

P( 1,1 ),R( 3,7 ) Coordinates of M =( 1+3 2 , 1+7 2 ) =( 2,4 )


Question 8:
Given points (–2, 8) and (10, 8), find the length of PQ.

Solution:
Length of PQ = [ 10( 2 ) ] 2 + ( 88 ) 2 = ( 14 ) 2 +0 =14 units