Three marbles, one red (r), one yellow (y), and one blue (b), are placed in a bag. a fair coin is flipped, and then a marble is drawn out of the bag at random. a tree diagram of the events is shown below. how many possible outcomes exist?

6

Step-by-step explanation:

There are 6 possible out comes

The coin can be either heads or tails

The marble can be either red  yellow or blue

Outcomes

Heads Red  Heads yellow  Heads Blue  

Tails Red   Tails yellow   Tails  Blue

y=3x+4

step-by-step explanation:

given the points a(0,4) and b(-4, -8)

eqn of line ab: (y-4)/(x-0)=(-8-4)/(-4-0)

(y-4)/x=-12/-4=3

y=3x+4