Question

quick question
point A has the coordinates (4,9)
if M is the midpoint of AB and M has the coordinates of (4,5)
then what is the coodinates of B?
i will pick the brainliest answer to who gets it right

Answer 1

Answer:

B (4, 1 )

Step-by-step explanation:

Using the midpoint formula

M = ( $\frac{x_{A}+x_{B} }{2}$, $\frac{y_{A}+y_{B} }{2}$ )

let the coordinates of B = (x, y ), then equating x and y coordinates

$\frac{4+x}{2}$ = 4 ( multiply both sides by 2 )

4 + x = 8 ( subtract 4 from both sides )

x = 4

similarly

$\frac{9+y}{2}$ = 5 ( multiply both sides by 2 )

9 + y = 10 ( subtract 9 from both sides )

y = 1

The coordinates of B = (4, 1 )