Question

question 14 (1 point) listen find the midpoint of the line segment whose end points are given. (2, 7) and (0, 3) a) (1, 2) b) (2, 4) c) (1, 5) d) (2, 10)

Explanation:

Step1: Recall mid - point formula

The mid - point formula for two points \((x_1,y_1)\) and \((x_2,y_2)\) is \((\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})\).

Step2: Identify the values of \(x_1,x_2,y_1,y_2\)

Here \(x_1 = 2,y_1=7,x_2 = 0,y_2 = 3\).

Step3: Calculate the x - coordinate of the mid - point

\(x=\frac{2 + 0}{2}=\frac{2}{2}=1\).

Step4: Calculate the y - coordinate of the mid - point

\(y=\frac{7+3}{2}=\frac{10}{2}=5\).

Answer:

C. \((1,5)\)