The question states that this point is on segment , with the distance between this point and being the distance between to .
It could be shown (using a pair of similar right triangles) that the ratio applies not only to the (sloped) distance between this point and , but to the vertical distance as well.
The vertical distance between this point and would also be the vertical distance between and .
The vertical distance between and is the difference between their coordinates, .
The vertical distance between this point and would be of the vertical distance between and , .
Since is above , any point on the segment between these two points would also be above . Add the vertical distance between and the requested point to the coordinate of to find the coordinate of the requested point: .
Step-by-step explanation: Count the total number of marbles. There are 8. Since there are 4 red marbles out of the 8, put this into a fraction. It will be 4/8, but simplify to 1/2. The P(red) is 1/2.
Since there are 4 red marbles and 2 black marbles, add them. There are 6 out of the 8 marbles. The fraction is 6/8 simplify to 3/4. The P(red or black) is 3/4.