Question

find the mid - point of the line segment whose end points are given. 14) (0, 7) and (2, 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 the values of $x_1,y_1,x_2,y_2$

Here $x_1 = 0,y_1=7,x_2 = 2,y_2 = 4$.

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

$x=\frac{0 + 2}{2}=\frac{2}{2}=1$.

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

$y=\frac{7 + 4}{2}=\frac{11}{2}=5.5$.

Answer:

$(1,5.5)$