Question

what is the midpoint of the line segment with endpoints (1, -6) and (-3, 4)?
a. (-1, -2)
b. (-2, -2)
c. (-1, -1)
d. (-2, -1)

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 $x_1 = 1,y_1=-6,x_2=-3,y_2 = 4$.

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

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

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

$y=\frac{-6 + 4}{2}=\frac{-2}{2}=-1$.

Answer:

C. $(-1,-1)$