Answer:
The x-coordinate of point P = -5.6
The y-coordinate of point P = 2.6
P(-5.6,2.6)
Step-by-step explanation:
QR has the endpoints Q(–10, 7) and R(1, –4).
Line segment QR divides at point P in ratio 2:3.
Using section formula:
[tex](x,y)\rightarrow (\frac{mx_2+nx_1}{m+n},\frac{mx_2+nx_1}{m+n})[/tex]
where,
[tex]P\rightarrow (x,y)[/tex]
[tex]m:n\Rightarrow 2:3[/tex]
[tex]x\rightarrow \dfrac{2\cdot 1+3(-10)}{2+3}[/tex]
[tex]x\rightarrow \dfrac{-28}{5}[/tex]
[tex]x\rightarrow -5.6[/tex]
[tex]y\rightarrow \dfrac{2\cdot -4+3\cdot 7}{2+3}[/tex]
[tex]y\rightarrow \dfrac{13}{5}[/tex]
[tex]y\rightarrow 2.6[/tex]
Hence, The x-coordinate of point P = -5.6 and The y-coordinate of point P = 2.6
