Question

question 4 of 10
what is the midpoint of the line segment with endpoints (-1, 7) and (3, -3)?
a. (1, 2)
b. (2, 2)
c. (2, 4)
d. (1, 4)

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 $x_1=-1,y_1 = 7,x_2=3,y_2=-3$.

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

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

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

$y=\frac{7+( - 3)}{2}=\frac{7 - 3}{2}=\frac{4}{2}=2$.
So the mid - point is $(1,2)$.

Answer:

A. (1, 2)