Respuesta :
The coordinates would be (-3.2, 6.2).
We start out finding the slope of the line segment. Slope is rise/run:
(20-5)/(6--4) = 15/10 = 3/2
The ratio 2:3 splits the segment into 5 sections. We will add 2/5 of the rise to the y-coordinate and 2/5 of the run to the x-coordinate:
-4+(2/5)(2)= -4+4/5 = -4+0.8= -3.2
5+(2/5)(3) = 5+6/5 = 5+1.2 = 6.2
The coordinates of P would be (-3.2, 6.2).
We start out finding the slope of the line segment. Slope is rise/run:
(20-5)/(6--4) = 15/10 = 3/2
The ratio 2:3 splits the segment into 5 sections. We will add 2/5 of the rise to the y-coordinate and 2/5 of the run to the x-coordinate:
-4+(2/5)(2)= -4+4/5 = -4+0.8= -3.2
5+(2/5)(3) = 5+6/5 = 5+1.2 = 6.2
The coordinates of P would be (-3.2, 6.2).
Answer:
The coordinates of P are (0,11).
Step-by-step explanation:
Since, when a point divides a line segment in the ratio of m : n that having endpoints [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] and lies between these points.
Then, the coordinates of the point are,
[tex](\frac{mx_2+nx_1}{m+n},\frac{my_2+ny_1}{m+n})[/tex]
Hence, the coordinates of point P that divides the Line segment RW has endpoints R(-4,5) and W(6,20) in 2:3 ratio are,
[tex](\frac{2(6)+3(-4)}{2+3},\frac{2(20)+3(5)}{2+3})[/tex]
[tex]=(\frac{12-12}{5},\frac{40+15}{5})[/tex]
[tex]=(0,\frac{55}{5})[/tex]
[tex]=(0,11)[/tex]
