Question

What is the location of point G, which partitions the directed line segment from D to F into a 5:4 ratio? –1 0 2 3

Answer 1

Answer:

The Answer is 3 (D)

The ratio is 5:4 therefor,

m = 5

n = 4

We also know the coordinates of D and F,

D (x1) is -2

F (x2) is 7

Using the formula

$m(x_{2} ) + n(x_{1} )$

⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻

m+n

We input our known values to solve for the point of G.

$5(7) + 4(-2)\\-----\\9$

$\frac{27}{9} = 3$

Thus the point of G is 3.

Answer 2

I think the correct answer on how to get from D to F in a 5:4 ratio is 3