Respuesta :
Answer:
(( -13/2 ) , ( -1/2 ))
Step-by-step explanation:
using section formula
where m1=1 m2=1
since segment with midpoint will be divided in 1 ratio 1
(x1m2+x2m1)/(m1+m2), (y1m2+y2m1)/(m1+m2)
(-5)(1)+(-8)(1)/1+1 , (-4)(1)+(3)(1)/1+1
-5-8/2 , -4+3/2
x= (-13/2) , y= (-1/2)
therefore midpoint is ( ( -13/2 ) , ( -1/2 ) )
In your case, the endpoints are
(
−
5
,
−
4
)
(−5,−4) and
(
−
8
,
3
)
(−8,3). Apply these values to the formula:
Midpoint
=
(
−
5
+
(
−
8
)
2
,
(
−
4
)
+
3
2
)
Midpoint=(
2
−5+(−8)
,
2
(−4)+3
)
Now, calculate the values:
Midpoint
=
(
−
13
2
,
−
1
2
)
Midpoint=(
2
−13
,
2
−1
)
So, the midpoint of the segment with endpoints
(
−
5
,
−
4
)
(−5,−4) and
(
−
8
,
3
)
(−8,3) is
(
−
13
2
,
−
1
2
)
(
2
−13
,
2
−1
).
(
−
5
,
−
4
)
(−5,−4) and
(
−
8
,
3
)
(−8,3). Apply these values to the formula:
Midpoint
=
(
−
5
+
(
−
8
)
2
,
(
−
4
)
+
3
2
)
Midpoint=(
2
−5+(−8)
,
2
(−4)+3
)
Now, calculate the values:
Midpoint
=
(
−
13
2
,
−
1
2
)
Midpoint=(
2
−13
,
2
−1
)
So, the midpoint of the segment with endpoints
(
−
5
,
−
4
)
(−5,−4) and
(
−
8
,
3
)
(−8,3) is
(
−
13
2
,
−
1
2
)
(
2
−13
,
2
−1
).
