Question

(2,-1), (-6,0) find the midpoint of the two points

Answer 1

We are given two points having the following coordinates

`(x_1,y_1)=(2,-1)\text{ and }(x_2,y_2)=(-6,0)`

We are asked to find out the midpoint of these two points

Recall that the midpoint formula is given by

`(x_m,y_m)=((x_1+x_2)/(2),(y_1+y_2)/(2))_{}`

Let's substitute the given coordinates into the above formula

`\begin{gathered} (x_m,y_m)=((2-6)/(2),\frac{-1_{}+0}{2})_{} \\ (x_m,y_m)=((-4)/(2),\frac{-1_{}}{2}) \\ (x_m,y_m)=(-2,-\frac{1_{}}{2}) \end{gathered}`

Therefore, the midpoint of the points (2,-1) and (-6,0) is found to be (-2, -1/2)

`(x_m,y_m)=(-2,-\frac{1_{}}{2})`