For the line segment whose endpoints are L (0, 1) and M (2,8), find the y coordinate for the point located 3/5 the distance from L to M 5.2
3.5
4.8
1.6

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Step-by-step explanation:

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: .

a: 1/6, j: 1/4

step-by-step explanation: you are welcome

correct answer:

b.(19,-2)