Question

10 find the midpoint of $overline{ab}$. ** midpoint formula = $(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})$ a (4,4), b (3,1)

Explanation:

Step1: Identify coordinates of A and B

From the graph, $A(-2,0)$ and $B(4,2)$.

Step2: Apply mid - point formula

The mid - point formula is $(\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})$. Here $x_1=-2,y_1 = 0,x_2=4,y_2 = 2$. So, $\frac{-2 + 4}{2}=\frac{2}{2}=1$ and $\frac{0+2}{2}=\frac{2}{2}=1$.

Answer:

$(1,1)$