Given:
M(-1,-4) is the mid point of points a(-3, -7)
and B
To find:
Coordinates of B
Step-by-step explanation:
Let (x, y) be the coordinates of B.
Since M is the midpoint of A and B,
M-A IB-EM
YM-YA-YB-YM
Substituting the values,
The x coordinate will be
-1-(-3)=-(-1)
-1+3=x+1
=2-1 x = 1
The y coordinate will beYM YAYB-YM
Substituting the values,
The x coordinate will be
- 1 - (- 3) = x - (- 1) - 1 + 3 = x + 1 x = 2 - 1 x = 1
The y coordinate will be
- 4 - (- 7) = y - (- 4) - 4 + 7 = y + 4 y = - 1
y = 7 - 8
Hence x=1, y = - 1
Final answer:
The coordinates of B are (1,-1)