Answer:
[tex]$X=1.5, Y=0.75$[/tex]
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,
[tex]$X=\frac{5 * 3+3 *(-1)}{5+3}$[/tex]
[tex]$Y=\frac{5 *(-7)+3 * 9}{5+3}$[/tex]
Where X and Y are the required coordinates.
So, by calculations,
It lies in the positive X-Y Plane.
[tex]$X=1.5, Y=0.75$[/tex]
Learn more about coordinates refer: