Answer:
The midpoint of the segment with endpoints at the midpoints of s1 and s2 is (4,5).
Step-by-step explanation:
Midpoint of a segment:
The coordinates of the midpoint of a segment are the mean of the coordinates of the endpoints of the segment.
Midpoint of s1:
Using the endpoints given in the exercise.
Thus:
Midpoint of s2:
Thus:
Find the midpoint of the segment with endpoints at the midpoints of s1 and s2.
Now the midpoint of the segment with endpoints and . So
The midpoint of the segment with endpoints at the midpoints of s1 and s2 is (4,5).
Step-by-step explanation:
slope(m)=(Y-Y1)/X-X1
here,
M=1
(X1,Y1)=(11,3)
NOW,
m=(Y-Y1)/(X-X1)
1=(Y-3)/(X-11)
1×(X-11)=Y-3
X-11=Y-3
X-Y-11+3=0
X-Y-8=0
X-Y=0 is the required equation.
So a system of equations means both x and y values are the same for both equations.
Right now, the lines are both = y so you set them equal to each other
x-2=3x+4
Then solve for x
-6=2x
x=-3
Since you have the x value, you can plug that in to either one of the two equations to get the y value
I'll use y=x-2
y= -3 -2
y= -5
Now check it to see if it satisfies both equations
so now you know they meet at (-3,-5)
The answer is (-3,-5) because the point satisfies both equations.