Question

Find the coordinates of the point dividing the line joining (-2, 7)and (3,-3) in a ratio 3:2.

Answer 1

Step-by-step explanation:

(-2+3 by 3+2 7+-3 by 3+2)

1 by5 and 4by5

Answer 2

Answer:

(1, 1)

Step-by-step explanation:

We have to get the point C, which divides the line between A(-2,7) and B(3,-3) in the ratio of 3:2.

[Here name of the points are assumed]

Now, we know that the coordinates of the point C is given by {$\frac{nx_{1} +mx_{2} }{m+n} , \frac{ny_{1}+my_{2}  }{m+n}$}, where point C divides the line joining A($x_{1} ,y_{1}$) and B($x_{2} ,y_{2}$) in the ratio of m:n internally.

Hence, the coordinates of C will be {$\frac{3*3+2*(-2)}{3+2} ,\frac{2*7+3*(-3)}{3+2}$} = (1, 1) (Answer)