The midpoint of \overline{\text{AB}} AB is M(-3, -3)M(−3,−3). If the coordinates of AA are (-5, -1)(−5,−1), what are the coordin

Question

scoundrel [369]

3 years ago

13

The midpoint of \overline{\text{AB}} AB is M(-3, -3)M(−3,−3). If the coordinates of AA are (-5, -1)(−5,−1), what are the coordin

ates of BB?

Mathematics

1 answer:

astraxan [27] · Answer 1 · 2022-04-14T14:06:54+03:00

The coordinates of point B are (-1,-5)

Step-by-step explanation:

The formula for mid-point is given by:

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

Given

M(x,y) = (-3,-3)

A(x1,y1) = (-5, -1)

We have to find the coordinates of B(x2,y2)

So,

$M(x,y)= (\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2})\\(-3,-3) = (\frac{-5+x_2}{2} , \frac{-1+y_2}{2})\\putting\ respective\ coordinates\ equal\\-3 = \frac{-5+x_2}{2}\\-3 * 2 = -5+x_2\\-6 = -5+x_2\\-6+5 = x_2\\x_2 = -1\\And\\-3 = \frac{-1+y_2}{2}\\-3*2 = -1+y_2\\-6 = -1+y_2\\-6+1 = y_2\\y_2 = -5$

Hence,

The coordinates of point B are (-1,-5)

Keywords: Mid-point, coordinates

Learn more about mid-point at:

#LearnwithBrainly