Question

directions: find the coordinates of the midpoint of the line - segment joining the points. 6. a(5, 8) and b(-1, -4)

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 $x_1 = 5,y_1 = 8,x_2=-1,y_2 = - 4$.

Step3: Calculate x - coordinate of mid - point

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

Step4: Calculate y - coordinate of mid - point

$\frac{8+( - 4)}{2}=\frac{4}{2}=2$.

Answer:

$(2,2)$