i. L (x1 , y1 ) = L (-2, -3) and M (x2 ,y2 ) = M (-6, -8)
Here, x1 = -2, x2 = – 6, y1 = – 3, y2 = – 8
Slope of line LM = (y2 - y1)/ (x2 - x1)
= (-8 - (-3))/(-6 -(-2)) = (-8 + 3)/ (-6 + 2)
= -5/-4 = 5/4
∴ The slope of line LM is 5/4
ii. E (x1 , y1 ) = E (-4, -2) and F (x2 , y2 ) = F (6, 3)
Here,x1 = -4, x2 = 6, y1 = -2, y2 = 3
Slope of line EF = (y2 - y1)/ (x2 - x1)
= (3 - (-2))/(6 - (-4)) = (3+2)/(6 + 4)
= 5/10 = 1/2
The slope of line EF is 1/2.
iii. T (x1 , y1 ) = T (0, -3) and S (x2 , y2 ) = S (0, 4)
Here, x1 = 0, x2 = 0, y1 = -3, y2 = 4
Slope of line TS = (y2 - y1)/(x2 - x1)
= (4 - 9(-3))/(0 - 0) = (4 +3)/0 = 7/0
= Not definned
∴ The slope of line TS cannot be determined.