If two lines l and m have equations y = -x + 8, and y = -4x + 8, what is the probability that a point randomly selected in the 1st quadrant and below l will fall between l and m? Express your answer as a decimal to the nearest hundredth.
+128631 The line y = -x + 8 will form a triangle in the first quadrant with a height of 8 and a base of 8
The line y = -4x + 8 will form a triangle in the first quadrant with a height of 8 and a base of 2
So a triangle formed in the 1st quadrant by the intersection of these two lines will have a base of 6
So....the probability that a point selected in the first quadrant and below l will fall between l and m =
6/8 = 3/4 = .75
See the graph here : https://www.desmos.com/calculator/qwfb7aqtth
