Question

current learning objective: using the midpoint formula
question 6
score: 0 of 1 point
find the midpoint of the line segment from (-1, -1) to (3, -4).
a (2, -5)
b (1, -\frac{5}{2})
c (-2, \frac{3}{2})
d (1, \frac{5}{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 $x_1=-1,y_1 = - 1,x_2=3,y_2=-4$.

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

$y=\frac{-1+( - 4)}{2}=\frac{-1 - 4}{2}=\frac{-5}{2}$.

Answer:

B. $(1,-\frac{5}{2})$