Question

Find the midpoint of points A (-2,-9) and B (-8,1) graphically

Answer 1

The mid-points of a line with coordinates:

`\begin{gathered} (x_(1,)y_1)and(x_(2,)y_2)\text{ is given as:} \\ ((x_1+x_2)/(2),(y_1+y_2)/(2))_{} \end{gathered}`

From the question, the coordinates of points A are (-2,-9) and (-8,1). This implies that:

`\begin{gathered} x_1=-2,y_1=-9 \\ x_2=-8,y_2=1 \end{gathered}`
`\begin{gathered} \text{Therefore, the midpoint of points A is:} \\ ((-2-8)/(2),(-9+1)/(2)) \\ \text{this becomes (}(-10)/(2),(-8)/(2))\text{ = (-5,-4)} \end{gathered}`

Hence the midpoint of point A is (-5,-4).

To represent this graphically, we have: