Question

Point P lines on line MN and is 3/4 of the way from M to N.
What are the coordinate of point P? M is at (-3,7) and N is at (9, 15). Find point P.

Answer 1

Answer:

The points of P is (  $\frac{15}{7}$  ,  $\frac{43}{7}$  )  

Step-by-step explanation:

Given as :

The coordinate of point M ( - 3 , 7 )

The coordinate of point N ( 9 , 15 )

Since point P lies on line MN  , and it divide the line in ratio  ( m : n ) = 3:4

So, Let The point of P ( x , y )

∴ x = $\frac{m\times x_2+n\times x_1}{m+n}$

Or, x =  $\frac{3\times 9+4\times -3}{3+4}$

Or, x = $\frac{15}{7}$

And y =  $\frac{m\times y_2+n\times y_1}{m+n}$

Or,  y =  $\frac{3\times 15+4\times 7}{3+4}$

Or, y = $\frac{43}{7}$

Hence The points of P is (  $\frac{15}{7}$  ,  $\frac{43}{7}$  )  Answer