Question

Find the co-ordinates of the point P if P is the midpoint of a line segment AB with A(4,1) and B(-3,5).
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Answer 1

$\because$ Mid-point of line joining two points $(x_1,y_1)and(x_2,y_2)$ is $(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$
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Here, $x_1=4,x_2=-3,y_1=1\&y_2=5$.

$\therefore$ $\text{P}(x,y)=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})=(\frac{4+(-3)}{2},\frac{1+5}{2})=(\frac{1}{2},3)$.

$\therefore$ Coordinates of P is $(\frac{1}{2},3)$.
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