Question

what is the midpoint of the segment that joins the points (-19, -6) and (-13, -4)?

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 \(x_1=-19,y_1 = - 6,x_2=-13,y_2=-4\).

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

\(x=\frac{-19+( - 13)}{2}=\frac{-19 - 13}{2}=\frac{-32}{2}=-16\).

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

\(y=\frac{-6+( - 4)}{2}=\frac{-6 - 4}{2}=\frac{-10}{2}=-5\).

Answer:

\((-16,-5)\)