Question

question 7 of 10 what is the midpoint of the line segment with endpoints (3.2, 2.5) and (1.6, -4.5)? a. (4.8, -1) b. (4.8, -2) c. (2.4, -1) d. (2.4, -2)

Explanation:

Step1: Find x - coordinate of mid - point

The formula for the x - coordinate of the mid - point of a line segment with endpoints \((x_1,y_1)\) and \((x_2,y_2)\) is \(x=\frac{x_1 + x_2}{2}\). Here \(x_1=3.2\), \(x_2 = 1.6\), so \(x=\frac{3.2+1.6}{2}=\frac{4.8}{2}=2.4\).

Step2: Find y - coordinate of mid - point

The formula for the y - coordinate of the mid - point of a line segment with endpoints \((x_1,y_1)\) and \((x_2,y_2)\) is \(y=\frac{y_1 + y_2}{2}\). Here \(y_1 = 2.5\), \(y_2=-4.5\), so \(y=\frac{2.5+( - 4.5)}{2}=\frac{2.5 - 4.5}{2}=\frac{-2}{2}=-1\).

Answer:

C. (2.4, -1)