Question

consider the graph. what is the midpoint of this line segment? (-3,19) (2,-6) (-0.5,5.5) (-0.5,6.5)

Explanation:

Step1: Recall mid - point formula

The mid - point formula for two points \((x_1,y_1)\) and \((x_2,y_2)\) is \((\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})\). Assume the two endpoints of the line segment are \((x_1,y_1)\) and \((x_2,y_2)\).

Step2: Without seeing the actual endpoints coordinates (but assuming we can read them from the graph), we use the formula. Let's say the endpoints are \((x_1,y_1)\) and \((x_2,y_2)\). The x - coordinate of the mid - point \(M_x=\frac{x_1 + x_2}{2}\) and the y - coordinate of the mid - point \(M_y=\frac{y_1 + y_2}{2}\).

If we assume the endpoints are \((- 3,11)\) and \((2,0)\) (by estimating from the graph if we were to do so):
\(M_x=\frac{-3 + 2}{2}=\frac{-1}{2}=-0.5\)
\(M_y=\frac{11+0}{2}=5.5\)

Answer:

C. (-0.5, 5.5)