Find the coordinates of N so that MN is 5/8 of MP .

Question

The point N lies on the segment MP.

M- (-26, 14) P- (6,-2) 

N(?,?)

Answer 1

M = (-26, 14)    P = (6,-2)

 

As we move along line segment MP from M to P, x increases by 32 (from -26 to 6) and y decreases by 16

(from 14 to -2)

 

     So, the x-coordinate of N is -26 + (5/8)(32) = -6

 

      and the y-coordinate of N is 14 - (5/8)(16) = 4

 

N = (-6,4)

 

 

 

Answer 2

N = ((6 - (-26))(5/8), ((-2 - 14)(5/8))