Question

j(-4.5, 9) and k(-0.5, 3) are the endpoints of $overline{jk}$. its midpoint is l. what is the sum of the coordinates of l? write your answer as an integer or decimal.

Explanation:

Step1: Find x - coordinate of mid - point

The formula for the x - coordinate of the mid - point of two points $(x_1,y_1)$ and $(x_2,y_2)$ is $x=\frac{x_1 + x_2}{2}$. Here, $x_1=-4.5$ and $x_2=-0.5$, so $x=\frac{-4.5+( - 0.5)}{2}=\frac{-4.5 - 0.5}{2}=\frac{-5}{2}=-2.5$.

Step2: Find y - coordinate of mid - point

The formula for the y - coordinate of the mid - point of two points $(x_1,y_1)$ and $(x_2,y_2)$ is $y=\frac{y_1 + y_2}{2}$. Here, $y_1 = 9$ and $y_2=3$, so $y=\frac{9 + 3}{2}=\frac{12}{2}=6$.

Step3: Calculate the sum of coordinates

The sum of the coordinates of the mid - point $L$ is $-2.5+6 = 3.5$.

Answer:

$3.5$