Question

M is the midpoint of AB. If A (0,4) and M (2,5) find the coordinates of B

Answer 1

Answer:

(4,6)

Step-by-step explanation:

1. Midpoint formula:

• $(x_m,y_m)=(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2} )$

2. Find $x_2$:

• $x_m=\frac{x_1+x_2}{2}$
• $2=\frac{0+x_2}{2}$
• $x_2=4$

3. Find $y_2$:

• $y_m=\frac{y_1+y_2}{2}$
• $5=\frac{4+y_2}{2}$
• $y_2=6$  

4. Coordinates of B:

• $(x_2, y_2)=(4,6)$