Question

What are the coordinates of the point on the directed line segment from (-3, -9) to (4,5)

Answer 1

Answer:

(2, 1 )

Step-by-step explanation:

Using the Section formula

For endpoints (x₁, y₁ ) and (x₂, y₂ ) partitioned in the ratio m : n

Then coordinates of point are

[ $\frac{mx_{2}+nx_{1} }{m+n}$ , $\frac{my_{2}+ny_{1} }{m+n}$ ]

Here m = 5, n = 2, (x₁, y₁ ) = (- 3, - 9), (x₂, y₂ ) = (4, 5), thus partitioned point

= [ $\frac{5(4)+2(-3)}{5+2}$ , $\frac{5(5)+2(-9)}{5+2}$ ]

= [ $\frac{20-6}{7}$ , $\frac{25-18}{7}$ ]

= ( $\frac{14}{7}$ , $\frac{7}{7}$ )

= (2, 1 )