Question

Find the coordinates of the midpoint of a line segment with the given endpoints (14,-8), (12,-1)

Answer 1

The coordinates of the midpoint of a line segment with the given endpoints (14,-8), (12,-1) are
`\mathbf{(13,(-9)/(2))}`

Explanation:

We need to find the coordinates of the midpoint of a line segment with the given endpoints (14,-8), (12,-1)

The midpoint of line segment can be found using formula:

`Midpoint=((x_1+x_2)/(2),(y_1+y_2)/(2))`

We have
`x_1=14, y_1=-8, x_2=12, y_2=-1`

Putting values and finding midpoint

`Midpoint=((x_1+x_2)/(2),(y_1+y_2)/(2))\\Midpoint=((14+12)/(2),(-8-1)/(2))\\Midpoint=((26)/(2),(-9)/(2))\\Midpoint=(13,(-9)/(2))`

So, the coordinates of the midpoint of a line segment with the given endpoints (14,-8), (12,-1) are
`\mathbf{(13,(-9)/(2))}`