Question

Point

Answer 1

Your question is poorly formatted; However, the correct question is:

Point  A  ( 3 , 4 )  and point  M  (5.5,0) is the midpoint of point  A and point B. Determine the coordinates of B

Answer:

The coordinates of B is (8,-4)

Step-by-step explanation:

Given

Point  A  ( 3 , 4 )

Point  M  (5.5,0)

Required

Determine B

Since, M is the midpoint;

We'll solve this question using the following formula;

$M(x,y) = (\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})$

Where $(x,y) = (5.5,0)$ and $(x_1,y_1) = (3,4)$

Substitute values for x, y, x1 and y1 in the above formula;

This gives

$(5.5,0) = (\frac{3 + x_2}{2},\frac{4 + y_2}{2})$

By direct comparison, we have

$5.5 = \frac{3 + x_2}{2}$  and $0 = \frac{4 + y_2}{2}$

Solving $5.5 = \frac{3 + x_2}{2}$

Multiply both sides by 2

$11 = 3 +x_2$

Subtract 3 from both sides

$11- 3 = x_2$

$x_2 = 8$

Solving $0 = \frac{4 + y_2}{2}$

Multiply both sides by 2

$0 = 4 + y_2$

Subtract 4 from both sides

$0 - 4 = y_2$

$y_2 = -4$

Hence;

The coordinates of B is (8,-4)