Question

Find the midpoint of the line segment whose endpoints are given. (9,3), (10,- 10)​

Answer 1

Explanation:

(xm , ym ) = x1 + x2 / 2 and y1 + y2 / 2

= 9 +3 / 2 = 10 -10 / 2

= 12/2 = 0/2

= 6 = 0

So midpoints are (6 , 0)

Answer 2

midpoint =
`(9(1)/(2) , -3(1)/(2) )`

Explanation:

To find the midpoint of a line segment, you have to find the average of the x and y-values of the end-points, i.e., add the x-coordinate values and divide the answer by 2, and do the same for the y-coordinate values.

• midpoint =
`((x_(2) + x_1)/(2), (y_2 + y_1)/(2) )`

=
`((9 + 10)/(2), (3 + (-10))/(2) )`

=
`((19)/(2), (-7)/(2) )`

=
`(9(1)/(2) , -3(1)/(2) )`