Question

f(2.6, -5.3) and g(9.1, 6.3) are the endpoints of a line segment. what is the midpoint m of that line segment? write the coordinates as decimals or integers. m = ( , )

Explanation:

Step1: Find x - coordinate of mid - point

Use the mid - point formula for x - coordinate $x_M=\frac{x_F + x_G}{2}$. Here $x_F = 2.6$ and $x_G=9.1$. So $x_M=\frac{2.6 + 9.1}{2}=\frac{11.7}{2}=5.85$.

Step2: Find y - coordinate of mid - point

Use the mid - point formula for y - coordinate $y_M=\frac{y_F + y_G}{2}$. Here $y_F=-5.3$ and $y_G = 6.3$. So $y_M=\frac{-5.3+6.3}{2}=\frac{1}{2}=0.5$.

Answer:

$(5.85,0.5)$