Answer:
Explanation:
(i) Find the slope of the line l.
m= rise/run
= (y2-y1)/(x2-x1)
= (8-4)/(9-(-2))
= (8-4)/(9+2)
= 4/11
Gradient= 4/11
(ii) Find the coordinates of the midpoint of the points A and B
Midpoint=( (x1+x2)/2 , (y1+y2)/2)
=( (-2+9)/2, (4+8)/2)
=( 7/2, 12/2)
= (3.5, 6)
(iii) Find the distance between points A and B.
Distance= √(〖( x2-x1)〗^2+〖(y2-y1)〗^2 )
= √(〖( 9-(-2))〗^2+〖(8-4)〗^2 )
=√(〖(9+2)〗^2+〖(4)〗^2 )
=√(〖( 11)〗^2+〖(4)〗^2 )
=√(121+16)
=√137
=11.704