Alright so I just started with math and I am stuck on this question:
The points (-4, 6), (5,7), (6, -2) and (-6, -4) makes a quadrangel.
Determine the coordinates for the exact point where the diagonals of the quadrangel cut eachother.
I've translated from Swedish so I hope you guys can understand it!
This is what I've done so far.
I started by drawing out line A (-4, 6) and (6, -2)
The k in line A is: k=ΔY/ΔXΔYis8ΔXis10
Meaning that k = 8/10 = 0.8
The "m" in line a is: y = 0.8 * x + m
I'll input the first coordinates: 6 = 0.8 * -4 = m
6 = -3.2 + m
6 = -3.2 + 9.2
Now I've calculated that K is 0.8 and m is 9.2
Where do i go from here?
+26396 The points (-4, 6), (5,7), (6, -2) and (-6, -4) makes a quadrangel. {nl} Determine the coordinates for the exact point where the diagonals of the quadrangel cut eachother.
In General: cut two lines.
Line 1 with two Points: (x1y1) and (x2y2)
Line 2 with two Points: (x3y3) and (x4y4)
The coordinates for the cut eachother is (xcyc)
xc=x3+k⋅(x4−x3)yc=y3+k⋅(y4−y3)k=(x3−x1)(y2−y1)−(y3−y1)(x2−x1)(x2−x1)(y4−y3)−(x4−x3)(y2−y1)
Calculation:
Line 1 with two Points:(x1=−6y1=−4) and (x2=5y2=7)Line 2 with two Points:(x3=6y3=−2) and (x4=−4y4=6)k=[6−(−6)][7−(−4)]−[−2−(−4)][5−(−6)][5−(−6)][6−(−2)]−[−4−(−6)][7−(−4)]k=12⋅11−2⋅1111⋅8+10⋅11k=12−28+10k=1018k=59xc=6+59⋅(−4−6)xc=6−5⋅109xc=54−509xc=49yc=−2+59⋅[6−(−2)]yc=−2+5⋅89yc=−18+409yc=229
+118703 I have put our question in the eye of the other answerers.
I hoipe that you get your answer :)
http://web2.0calc.com/questions/unanswered-questions_26956
+26396 The points (-4, 6), (5,7), (6, -2) and (-6, -4) makes a quadrangel. {nl} Determine the coordinates for the exact point where the diagonals of the quadrangel cut eachother.
In General: cut two lines.
Line 1 with two Points: (x1y1) and (x2y2)
Line 2 with two Points: (x3y3) and (x4y4)
The coordinates for the cut eachother is (xcyc)
xc=x3+k⋅(x4−x3)yc=y3+k⋅(y4−y3)k=(x3−x1)(y2−y1)−(y3−y1)(x2−x1)(x2−x1)(y4−y3)−(x4−x3)(y2−y1)
Calculation:
Line 1 with two Points:(x1=−6y1=−4) and (x2=5y2=7)Line 2 with two Points:(x3=6y3=−2) and (x4=−4y4=6)k=[6−(−6)][7−(−4)]−[−2−(−4)][5−(−6)][5−(−6)][6−(−2)]−[−4−(−6)][7−(−4)]k=12⋅11−2⋅1111⋅8+10⋅11k=12−28+10k=1018k=59xc=6+59⋅(−4−6)xc=6−5⋅109xc=54−509xc=49yc=−2+59⋅[6−(−2)]yc=−2+5⋅89yc=−18+409yc=229
