Question

p(15, 27) and q(20, 87) 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

Use mid - point formula for x - coordinate $x=\frac{x_1 + x_2}{2}$, where $x_1 = 15$ and $x_2=20$. So $x=\frac{15 + 20}{2}=\frac{35}{2}=17.5$.

Step2: Find y - coordinate of mid - point

Use mid - point formula for y - coordinate $y=\frac{y_1 + y_2}{2}$, where $y_1 = 27$ and $y_2 = 87$. So $y=\frac{27+87}{2}=\frac{114}{2}=57$.

Answer:

$(17.5,57)$