Question

find the midpoint of the line segment joining the points (-4, -1) and (-8, 4). (simplify your answer. type an ordered pair.) the midpoint is □.

Explanation:

Step1: Recall mid - point formula

The mid - point formula for two points \((x_1,y_1)\) and \((x_2,y_2)\) is \((\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})\). Here \(x_1=-4,y_1 = - 1,x_2=-8,y_2 = 4\).

Step2: Calculate the x - coordinate of the mid - point

\(x=\frac{-4+( - 8)}{2}=\frac{-4 - 8}{2}=\frac{-12}{2}=-6\).

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

\(y=\frac{-1 + 4}{2}=\frac{3}{2}=1.5\).

Answer:

\((-6,1.5)\)