Answer:
C. (13,8)
Step-by-step explanation:
Midpoint formula is (x²+x¹ /2 , y²+y¹ /2 )
Midpoint= L(3,5)
J(-7 , 2) ; K(x , y)
(3,5) = (x+-7 /2 , y+2 /2)
x-7 /2 = 3
x-7 = 6
x= 13
y+2 /2 =5
y+2 = 10
y= 8
Therefore K is K(13, 8)
The coordinates of point K are Option C; K(13, 8).
Suppose we've two endpoints of a line segment as:
A(p,q), and B(m,n)
Then let the midpoint be M(x,y) on that line segment.
Then, its coordinates are:
[tex]x = \dfrac{p+m}{2}and \\y = \dfrac{q+n}{2}[/tex]
Midpoint formula is (x²+x¹ /2 , y²+y¹ /2 )
The coordinates of point J are(-7,2) , and the midpoint of JK is at L(3,5).
J(-7 , 2) ; K(x , y)
(3,5) = (x+-7 /2 , y+2 /2)
x-7 /2 = 3
x-7 = 6
x= 13
y+2 /2 =5
y+2 = 10
y= 8
Therefore, the coordinates of point K are C; K(13, 8).
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