Question

find the midpoint of the line segment joining points a and b. a(0,3); b(-2,\frac{7}{2}) 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 $(\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})$.

Step2: Identify coordinates

Here, $x_1=0,y_1 = 3,x_2=-2,y_2=\frac{7}{2}$.

Step3: Calculate x - coordinate of mid - point

$\frac{x_1 + x_2}{2}=\frac{0+( - 2)}{2}=\frac{-2}{2}=-1$.

Step4: Calculate y - coordinate of mid - point

$\frac{y_1 + y_2}{2}=\frac{3+\frac{7}{2}}{2}=\frac{\frac{6 + 7}{2}}{2}=\frac{\frac{13}{2}}{2}=\frac{13}{4}$.

Answer:

$(-1,\frac{13}{4})$