Given FH with coordinates F(-5, 4) and H(3, 0), find the coordinates of G if it is 1/4 the distance from F to H. A. (-4, 3) B. (-3, 1) C. (-2, 2) D. (-1, 2)

Question

asked Jun 12, 2024 24.1k views

1 Answer

Danlee · Answer 1 · 2024-06-16T21:24:17+0000

The coordinates of point G, which is 1/4 the distance from F to H, is (-1, 2).

To find the coordinates of point G, which is 1/4 the distance from F to H, we can use the midpoint formula.

The midpoint formula is given by:

(x,y) = ((x1 + x2)/2, (y1 + y2)/2)

Using the coordinates of F(-5, 4) and H(3, 0), we can substitute these values into the formula:

(x,y) = ((-5 + 3)/2, (4 + 0)/2)

(x,y) = (-1, 2)

Therefore, the coordinates of point G is (-1, 2). So, the correct option is D. (-1, 2).