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question 1 of 10 what is the midpoint of the line segment with endpoint…

Question

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

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

Step2: Calculate x - coordinate of mid - point

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

Step3: Calculate y - coordinate of mid - point

$y=\frac{7+( - 3)}{2}=\frac{7 - 3}{2}=\frac{4}{2}=2$.

Answer:

D. (1, 2)