Question

JL has coordinates J(-6, 1) and L(-4,3).
Find the coordinates of the midpoint.

Answer 1

The coordinates of the mid-point of JL are (-5 , 2)

Explanation:

If point (x , y) is the mid-point of a segment whose end-points are
`(x_(1),y_(1))` and
`(x_(2),y_(2))`, then
`x=(x_(1)+x_(2))/(2)` and
`y=(y_(1)+y_(2))/(2)`

∵ JL is a segment

∵ The coordinates of J are (-6 , 1)

∴
`x_(1)` = -6 and
`y_(1)` = 1

∵ The coordinates of L are (-4 , 3)

∴
`x_(2)` = -4 and
`y_(2)` = 3

Lets use the rule above to find the mid-point of JL

∵
`x=(-6+-4)/(2)=(-10)/(2)`

∴ x = -5

∴ The x-coordinate of the mid-point is -5

∵
`y=(1+3)/(2)=(4)/(2)`

∴ y = 2

∴ The y-coordinate of the mid-point is 2

∴ The coordinates of the mid-point of JL are (-5 , 2)