Question

what is the midpoint of the segment that joins the points (16, 19) and (-9, -15)?

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 $x_1=16,y_1 = 19,x_2=-9,y_2=-15$.

Step2: Calculate x - coordinate of mid - point

$x=\frac{16+( - 9)}{2}=\frac{16 - 9}{2}=\frac{7}{2}=3.5$.

Step3: Calculate y - coordinate of mid - point

$y=\frac{19+( - 15)}{2}=\frac{19 - 15}{2}=\frac{4}{2}=2$.

Answer:

$(3.5,2)$