Question

a line segment has the endpoints b(0, 4) and c(0, 3). find the coordinates of its midpoint m. write the coordinates as decimals or integers. m = ( ) ( )

Explanation:

Step1: Recall mid - point formula

For two points $(x_1,y_1)$ and $(x_2,y_2)$, the mid - point $(x_m,y_m)$ has coordinates $x_m=\frac{x_1 + x_2}{2}$ and $y_m=\frac{y_1 + y_2}{2}$.

Step2: Identify coordinates of endpoints

Here, $x_1 = 0,y_1 = 4,x_2 = 0,y_2 = 3$.

Step3: Calculate x - coordinate of mid - point

$x_m=\frac{0 + 0}{2}=0$.

Step4: Calculate y - coordinate of mid - point

$y_m=\frac{4+3}{2}=\frac{7}{2}=3.5$.

Answer:

$(0,3.5)$