Question

find the midpoint of the line segment joining points a and b. a(0,1); b(-3,\frac{1}{3}) the midpoint is . (type an ordered pair. simplify your answer.)

Explanation:

Step1: Recall mid - point formula

The mid - point formula for two points $(x_1,y_1)$ and $(x_2,y_2)$ is $(\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})$. Here $x_1 = 0,y_1=1,x_2=-3,y_2=\frac{1}{3}$.

Step2: Calculate the x - coordinate of the mid - point

$x=\frac{0+( - 3)}{2}=\frac{-3}{2}=-\frac{3}{2}$

Step3: Calculate the y - coordinate of the mid - point

$y=\frac{1+\frac{1}{3}}{2}=\frac{\frac{3 + 1}{3}}{2}=\frac{\frac{4}{3}}{2}=\frac{4}{3}\times\frac{1}{2}=\frac{2}{3}$

Answer:

$(-\frac{3}{2},\frac{2}{3})$