Question

What are the coordinates of the point on the directed line segment from (−1,9) to (3,−7) that partitions the segment into a ratio of 5 to 3?

Answer 1

Answer:

$X=1.5, Y=0.75$

Step-by-step explanation:

 Let the ends of the line segment be A(-1,9) and B(3,-7)

 Divided in the ratio m:n by a point P

 By formula of coordinate geometry,

$X=\frac{5 * 3+3 *(-1)}{5+3}$

$Y=\frac{5 *(-7)+3 * 9}{5+3}$

 Where X and Y are the required coordinates.

 So, by calculations,

 It lies in the positive X-Y Plane.

$X=1.5, Y=0.75$

Learn more about coordinates refer:

• https://brainly.com/question/15472009