Question

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

5.2
3.5
4.8
1.6

Answer 1

5.2

( option A )

- got it right on the exam

Answer 2

5.2

Explanation:

Given endpoints:

• L (0, 1)
• M (2, 8)

Find the y-coordinate of the point located 3/5ths of the distance from L to M

Subtract the y-coordinate of point L from the y-coordinate of point M:

`\sf y_M-y_L=8-1=7`

Multiply this by 3/5ths:

`\sf 7 * (3)/(5) = 4.2`

Add this to the y-coordinate of point L:

`\sf y_L+4.2=1+4.2=5.2`

Therefore, the y-coordinate of the point located 3/5ths of the distance from L to M is 5.2

** Please see attached for proof **