From one end of a segment to the midpoint, it takes -6x to get to the midpoint. Based on that, you can go another 6 over the y graph and get -8 for x.

For y, the segment goes from 4 to 2 (a -2 over the x graph). you can infer then that the other end will be 0.

6 0

3 years ago

Directed line segment DE has endpoints D(-4,-2) and E(1,8). Point F divides DE such that DF:FE is 3:2What are the coordinates of

VMariaS [17]

The Solution.

The given points are

$D(-4,-2)\text{ and E(1,8)}$

The formula is

$\frac{mx_2+nx_1}{m+n}_{},\frac{my_2+ny_1}{m+n}$

In this case,

$m=3,n=2$

Therefore,

$\begin{gathered} (\frac{mx_2+nx_1}{m+n}_{},\frac{my_2+ny_1}{m+n}) \\ =(\frac{3(1)+_{}2(-4)_{}}{3+2}_{},\frac{3(8)_{}+2(-2)_{}}{3+2}) \\ \end{gathered}$ $=(\frac{3-8}{5},\frac{24-4}{5})=(-\frac{5}{5},\frac{20}{5})$ $=(-1,4)$

Hence, the correct answer is (-1, 4) (option 3)

3 0

1 year ago