Question

Point R has coordinates (-5, -7) and point T has coordinates (3,-3).

Which point is located 1/4 of the distance from point R to point T?
Enter x-coordinate of the point here .......
and the y-
coordinate of the point here....

Answer 1

(x, y) = (-3, -6)

Explanation:

The (x, y) distance from R to T is ...

(Δx, Δy) = T - R = (3, -3) -(-5, -7) = (3 -(-5), -3 -(-7)) = (8, 4)

Then 1/4 of the distance is ...

(Δx, Δy)/4 = (8, 4)/4 = (2, 1)

This is added to the R coordinates to find the desired point:

point = R +(2, 1) = (-5, -7) +(2, 1) = (-5+2, -7+1) = (-3, -6)

The coordinates are ...

x-coordinate: -3

y-coordinate: -6