Question

will give brainlyist
Point P is located at (2.2) and point Tis located at (7, 17).
What are the coordinates of the point that partitions the directed line segment PT in a 3-2 ratio?
Use the section formula and show values for: m: n, Point 1, Point 2, and ALL work to find coordinates of
partitioning point.​

Answer 1

Answer:

(5,11)

Step-by-step explanation:

The section formula is given by :

$(x,y)=(\frac{mx_2+nx_1}{m+n}, \frac{my_2+ny_1}{m+n})$

We want find the point that divides the point P(2,2) and T(7,17) in the ratio m:n=3:2

We substitute the values to get:

$(x,y)=(\frac{3*7+2*2}{3+2}, \frac{3*17+2*2}{3+2})$

We simplify to get:

$(x,y)=(\frac{21+4}{5}, \frac{51+4}{5})$

$(x,y)=(\frac{25}{5}, \frac{55}{5})$

(x,y)=(5,11)