The options are: -2-4=x₁ and 15 + y₁=16.
Step-by-step explanation:
The formula for midpoint of a segment AB,where A(x,y) and B(x₁y₁) is given by;
(x+x₁)/2 , (y+y₁)/2
Given in question segment JK as J(4,-15) , midpoint of JK(-1,8) and K(x₁,y₁) then to find K(x₁,y₁) , apply the formula for mid point ;
(x+x₁)/2 , (y+y₁)/2
(-1,8) =(x₁+4)/2 , (y₁+ -15)/2
-1=(x₁+4)/2 ------------------multiply both sides by 2
-2=(x₁+4)
-2=x₁ +4 ---------------------collect like terms
-2-4=x₁
-6=x₁-------------------------The equation should be: -2-4=x₁
and
8= (y₁+ -15)/2
16= (y₁+ -15)
16=y₁+ -15
16+15=y₁
31=y₁------------------------15 + y₁=16
Checking the answers
Segment JK where J(4,-15) and K(-6,31) then the midpoint will be :
(x+x₁)/2 , (y+y₁)/2
(4+-6)/2 ,(-15+31)
(-2)/2 ,(16)/2
(-1,8) ---------midpoint of segment JK
Learn More
Midpoint of a segment formula : brainly.com/question/10424143
Finding midpoint of a segment : brainly.com/question/7729444
Keyword : midpoint, endpoint,coordinates
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