Question

Find the point P that is 2/5 of the way from A to B on the directed line segment AB if A (-8, -2) and B (6, 19).choice;(-2.4, 6.4)(2.4, -6.4)(-7.2, -8.8)(7.2, 8.8)

Answer 1

1. Find the length of the segment AB, use the next formula:

x- difference:

`(x_2-x_1)=(6-(-8))=6+8=14`

y-difference:

`(y_2-y_1)=(19-(-2))=19+2=21`

2. Find the 2/5 of each difference:

`\begin{gathered} 14*(2)/(5)=5.6 \\ \\ \\ 21*(2)/(5)=8.4 \end{gathered}`

3. Add the results you get in step 2 to the coordinates of point A:

`\begin{gathered} P(-8+5.6,-2+8.4) \\ P(-2.4,6.4) \end{gathered}`

Then, the point P has coordinates (-2.4,6.4)