Question

Find the midpoint of the line segment joining the points $(1,-1)$ and $(-5,-3)$.

• A. $(-2,1)$
• B. $(2,1)$
• C. $(-2,-1)$
• D. None of these

Answer 1

The correct option is A $(-2,1)$

Given points are $(1,-1)$ and $(-5,-3)$

To find out,

The coordinates of the midpoint of the line joining the given points.

Let the coordinates of the midpoint be $(x,y)$.

We know that the coordinates of the midpoint of the line segment joining $(x_1,y_1)and(x_2,y_2)$ are:

$P(x,y)=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$

Here, $(x_1,y_1)=(1,-1)$ and $(x_2,y_2)=(-5,-3)$.

Hence, $x=\frac{1+(-5)}{2}$ and $y=\frac{-1-(-3)}{2}$.

$\Rightarrow x=-2$ and $y=1$

So, $(x,y)=(-2,1)$.

Hence, $(-2,1)$ are the coordinates of the midpoint joining $(1,-1)$ and $(-5,-3)$.