Question

find the midpoint of the line segment joining the points (7,1) and (-5,-1).
the midpoint is . (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 $x_1 = 7,y_1=1,x_2=-5,y_2 = - 1$.

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

$x=\frac{7+( - 5)}{2}=\frac{7 - 5}{2}=\frac{2}{2}=1$.

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

$y=\frac{1+( - 1)}{2}=\frac{1 - 1}{2}=0$.

Answer:

$(1,0)$