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:

$\begin{gathered} 14*\frac{2}{5}=5.6 \\ \\ \\ 21*\frac{2}{5}=8.4 \end{gathered}$

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)