Given XZ with X(-4,3) and Z(6,-2) find the coordinates of Y if Y divides XZ 1/5 of the way from X to Z

Answer 1

The vertical distance between the point X(-4,3) and Z(6,-2) is the difference in y-coordinates:

3 - -2 = 5

1/5 of 5 is equal to 1.

Subtract 1 from the y-coordinate of point X to find the y-coordinate of point Y, which would be 1/5 of the way from point X to point Z:

3 - 1 = 2

To find the x-coordinate of point Y, follow a similar process, except this time take 1/5 of the difference in x-coordinates of X and Z:

1/5 * (6 - -4) = 2

Add 2 to the x-coordinate of point X to find the x-coordinate of point Y:

-4 + 2 = -2

The coordinates of Y are (-2, 2).

Hope this was helpful.