Question

a line segment has the endpoints g(-10, 17) and h(14, 14). find the coordinates of midpoint m. write the coordinates as decimals or integers. m = ( , )

Explanation:

Step1: Find x - coordinate of mid - point

Use the mid - point formula for x - coordinate $x_M=\frac{x_G + x_H}{2}$. Here $x_G=-10$ and $x_H = 14$. So $x_M=\frac{-10 + 14}{2}=\frac{4}{2}=2$.

Step2: Find y - coordinate of mid - point

Use the mid - point formula for y - coordinate $y_M=\frac{y_G + y_H}{2}$. Here $y_G = 17$ and $y_H=14$. So $y_M=\frac{17+14}{2}=\frac{31}{2}=15.5$.

Answer:

$(2,15.5)$