Question

find the midpoint of the line segment joining the points (3,6) and (-1,-6).
the midpoint is (2,0) (type an ordered pair. use integers or simplified fractions for any numbers in the expression.)

Explanation:

Step1: Recall mid - point formula

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

Step2: Identify the values of $x_1,y_1,x_2,y_2$

Here $x_1 = 3,y_1=6,x_2=-1,y_2 = - 6$.

Step3: Calculate the x - coordinate of the mid - point

$x=\frac{3+( - 1)}{2}=\frac{3 - 1}{2}=\frac{2}{2}=1$.

Step4: Calculate the y - coordinate of the mid - point

$y=\frac{6+( - 6)}{2}=\frac{6 - 6}{2}=0$.

Answer:

$(1,0)$