Question

f(8, -6) and g(0, 2) 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 the x - coordinate of the mid - point

The formula for the x - coordinate of the mid - point \(M_x\) of a line segment with endpoints \((x_1,y_1)\) and \((x_2,y_2)\) is \(M_x=\frac{x_1 + x_2}{2}\).
Here, \(x_1 = 8\) and \(x_2=0\), so \(M_x=\frac{8 + 0}{2}=\frac{8}{2}=4\).

Step2: Find the y - coordinate of the mid - point

The formula for the y - coordinate of the mid - point \(M_y\) of a line segment with endpoints \((x_1,y_1)\) and \((x_2,y_2)\) is \(M_y=\frac{y_1 + y_2}{2}\).
Here, \(y_1=-6\) and \(y_2 = 2\), so \(M_y=\frac{-6+2}{2}=\frac{-4}{2}=-2\).

Answer:

\((4,-2)\)