Deathbat1999
contestada

Point R is located at (3, 2) and point S is located at (8, 15) .

What are the coordinates of the point that partitions the directed line segment RS¯¯¯¯¯ in a 1:4 ratio?



Enter your answer as decimals in the boxes.

Respuesta :

The x  coordinate will be  3 + 1/(4 + 1) * (the positive difference of the x coordinates) , and the  y  coordinate will be  2 + 1/(4 + 1) * (the positive difference of the y coordinates)

  x  coordinate   =   3 + 1/5(8 - 3)   =   3 + 5/5   =   4

  y  coordinate   =   2 + 1/5(15 - 2)   =   2 + 13/5   =   4.6

 

So the new coordinates are     ( 4 , 4.6 )

JeanaShupp

Answer: (4,4.6)


Step-by-step explanation:

Let M be the point with partition the line segment RS in ration 1:4 and has coordinates (x,y)

Then x coordinate of M =[tex]\frac{mx_2+nx_1}{m+n}[/tex]

[tex]=\frac{1\times8+4\times3}{1+4}[/tex]

[tex]=\frac{8+12}{1+4}=\frac{20}{5}=4[/tex]

Now, y coordinate of M =[tex]\frac{my_2+ny_1}{m+n}[/tex]

[tex]=\frac{1\times15+4\times2}{1+4}[/tex]

[tex]=\frac{15+8}{1+4}=\frac{23}{5}=4.6[/tex]

Hence the coordinate of M=(4,4.6)


Q&A Education