Question

Point F is located at (1, -3). Point A is located at (-4, -0.5). Point A is the midpoint of segment FB. Point B is the midpoint of segment FY. What are the coordinates of point Y? A. (-1.5, -1.75) B. (-9, 2) C. (-14, 4.5) D. (-19, 7)

Answer 1

Using the midpoint formula, the coordinates of point Y are (-10, -1.5). (Option A)

Step-by-step explanation:

Let's use the midpoint formula to find the coordinates of point B and then the coordinates of point Y.

The midpoint formula is given by

(x1 + x2) / 2, (y1 + y2) / 2

Using point A (-4, -0.5) as the midpoint of segment FB, we can set up the following equation:

(-4 + x) / 2 = -4
(-0.5 + y) / 2 = -0.5

Solving these equations, we find that x = -7 and y = -1.

Now, let's use point B (-7, -1) as the midpoint of segment FY. Again, using the midpoint formula:

(-7 + x) / 2 = -7
(-1 + y) / 2 = -1

Solving these equations, we find that x = -10 and y = -1.5.

Therefore, the coordinates of point Y are (-10, -1.5). Option A is the correct choice.