Question

qr has endpoints at q(12, 14) and r(2, 16). find the midpoint m of qr. 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 $\frac{x_1 + x_2}{2}$. Here, $x_1=12$ and $x_2 = 2$. So, $\frac{12 + 2}{2}=\frac{14}{2}=7$.

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 $\frac{y_1 + y_2}{2}$. Here, $y_1=14$ and $y_2 = 16$. So, $\frac{14+16}{2}=\frac{30}{2}=15$.

Answer:

$(7,15)$