If two lines l and m have equations y = -x + 6, and y = -2x + 6, 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.

Guest Oct 4, 2021

#1**+1 **

I would suggest graphing the lines as below.

Then find the are below line L 1/2 b * h ( 18 units^{2} )

Find the area below line M 1/2 b * h (9 units^{2} )

so the area between them is 1/2 of the area below line L Probability is thus 1/2 = .50

ElectricPavlov Oct 4, 2021