Question

a line segment has the endpoints s(2, 4) and t(0, 0). find the coordinates of its midpoint m. write the coordinates as decimals or integers. m = (, )

Explanation:

Step1: Recall mid - point formula

The mid - point formula for two points $(x_1,y_1)$ and $(x_2,y_2)$ is $M=(\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})$. Here, $(x_1,y_1)=(2,4)$ and $(x_2,y_2)=(0,0)$.

Step2: Calculate x - coordinate of mid - point

For the x - coordinate of the mid - point, we substitute into the formula: $\frac{2 + 0}{2}=\frac{2}{2}=1$.

Step3: Calculate y - coordinate of mid - point

For the y - coordinate of the mid - point, we substitute into the formula: $\frac{4+0}{2}=\frac{4}{2}=2$.

Answer:

$(1,2)$