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

Answer:

5.2

Step-by-step 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:

$\sf 7 \times \dfrac{3}{5} = 4.2$

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 **