Question

j(16, 21) and k(75, 24) are the endpoints of a line segment. what is the midpoint m of that line segment? write the coordinates as decimals or integers. m = ()

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, $x_1 = 16$ and $x_2=75$. So, $x=\frac{16 + 75}{2}=\frac{91}{2}=45.5$.

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, $y_1 = 21$ and $y_2 = 24$. So, $y=\frac{21+24}{2}=\frac{45}{2}=22.5$.

Answer:

$(45.5,22.5)$