Question

How do I find the coordinates of N in MP if M is (-4,6) and P is (17,-22) and MN is 4/7 of MP?

Answer 1

To find the coordinates of N in the line segment MP, we can use the midpoint formula. The coordinates of N are (6.5, -8).

Step-by-step explanation:

To find the coordinates of point N in the line segment MP, we can use the midpoint formula. The midpoint of a line segment is the average of the x-coordinates and the average of the y-coordinates of the two endpoints.

Let's calculate the x-coordinate of N first:

x-coordinate of N = (x-coordinate of M + x-coordinate of P) / 2 = (-4 + 17) / 2 = 13 / 2 = 6.5

Next, let's calculate the y-coordinate of N:

y-coordinate of N = (y-coordinate of M + y-coordinate of P) / 2 = (6 + (-22)) / 2 = -16 / 2 = -8

Therefore, the coordinates of N are (6.5, -8).