Question

for questions 1 to 3, choose the correct answer. 1. the midpoint of the line segment with endpoints a(-3, -3) and b(1, 5) is at a (-2, 2) b (-4, -8) c (-1, 1) d (1, -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 coordinates

Here $x_1=-3,y_1 = - 3,x_2 = 1,y_2=5$.

Step3: Calculate x - coordinate of mid - point

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

Step4: Calculate y - coordinate of mid - point

$y=\frac{-3 + 5}{2}=\frac{2}{2}=1$.

Answer:

C. (-1, 1)