Question

1. if segment ab has points a (-4, -3) and b (6, 7), find its midpoint.

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 values of $x_1,y_1,x_2,y_2$

Here $x_1=-4,y_1 = - 3,x_2=6,y_2 = 7$.

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

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

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

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

Answer:

$(1,2)$