Mathematics: 21. Given directed line segment WV , find the coordinates of R such that the ratio of WR to RV is 3:4. Plot point R.

21. Given directed line segment WV , find the coordinates

ReaLily

03.02.2022

$R\left(\frac {4x_1+3x_2}{7} , \frac {4y_1+3y_2}{7}\right)$

Step-by-step explanation:

Let the coordinate of the points W, V and R are (x_1,y_1), (x_2,y_2), and (x_s,y_s) respectively.

The coordinate of the section point, (x_s,y_s), which divides the line joining the two points (x_1,y_1) and (x_2,y_2) in the ration m:n is

$x_s=\frac {nx_1+mx_2}{m+n}$ and

$y_s=\frac {ny_1+my_2}{m+n}$ .

The given ration is, m:n=3:4

$R(x_s,y_s)=R\left(\frac {nx_1+mx_2}{m+n} , \frac {ny_1+my_2}{m+n}\right)$

$=R\left(\frac {4x_1+3x_2}{7} , \frac {4y_1+3y_2}{7}\right)$ .

The exact point can be determined by putting the value of the exact coordinate in the above-obtained formula.

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lyssssasantiago9844

14.05.2023

(1, 2), (2, -3), (3, 4), (4, -5)

Step-by-step explanation:

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