The coordinates of B will be "(2, -8)".
Given:
Midpoint of AB,
(x, y) = (0, -7)
Coordinates of A,
(x₁, y₁) = (-2, -6)
As we know,
The formula of midpoint is:
→ [tex]X =\frac{x_1+x_2}{2}[/tex]
[tex]0=\frac{-2+x_2}{2}[/tex]
[tex]0=-2+x_2[/tex]
[tex]x_2=2[/tex]
→ [tex]Y=\frac{y_1+y_2}{2}[/tex]
[tex]-7=\frac{-6+y_2}{2}[/tex]
[tex]-14=-6+y_2[/tex]
[tex]y_2=-14+6[/tex]
[tex]y_2=-8[/tex]
hence,
→ [tex](x_2,y_2)=(2, -8)[/tex]
Thus the above answer is correct.
Learn more about midpoint here:
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