Question

score: 0 of 1 point
find the midpoint of the line segment from (-4, -3) to (-2, -4).
a (-6, -7)
b (-3, 7/2)
c (-1, 1/2)
d (-3, -7/2)

Explanation:

Step1: Recall mid - point formula

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

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

Here $x_1=-4,y_1 = - 3,x_2=-2,y_2=-4$.

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

$\frac{x_1 + x_2}{2}=\frac{-4+( - 2)}{2}=\frac{-4 - 2}{2}=\frac{-6}{2}=-3$.

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

$\frac{y_1 + y_2}{2}=\frac{-3+( - 4)}{2}=\frac{-3 - 4}{2}=\frac{-7}{2}$.

Answer:

D. $(-3,-\frac{7}{2})$