Question

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

Answer 1

Answer:

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

Step-by-step 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 $x=\frac{x_{1}+x_{2}}{2}$ and  $y=\frac{y_{1}+y_{2}}{2}$

∵ 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

∵ $x=\frac{-6+-4}{2}=\frac{-10}{2}$

∴ x = -5

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

∵ $y=\frac{1+3}{2}=\frac{4}{2}$

∴ y = 2

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

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