Penjelasan dengan langkah-langkah:
A(0,-2)
B(-4,0)
mAB = mCD
Then gradient of AB
m = (yB-yA)/(xB-xA)
m = (0-(-2))/(-4-0)
m = 2/-4
m = -½
Gradient of BC
m = -1 ÷ -½
m = -1 × -2/1
m = 2
Then C coordinates if we know xC = 0
y = 2(xC-xB)
y = 2(0+4)
y = 8
Then coordinates C = ( 0 , 8 )
Then line equation CD
y - yC = mCD(x-xC)
y - 8 = -½(x-0)
y - 8 = -½x
y = -½x + 8 ( A ) ✓
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Verified answer
Penjelasan dengan langkah-langkah:
A(0,-2)
B(-4,0)
mAB = mCD
Then gradient of AB
m = (yB-yA)/(xB-xA)
m = (0-(-2))/(-4-0)
m = 2/-4
m = -½
Gradient of BC
m = -1 ÷ -½
m = -1 × -2/1
m = 2
Then C coordinates if we know xC = 0
y = 2(xC-xB)
y = 2(0+4)
y = 8
Then coordinates C = ( 0 , 8 )
Then line equation CD
y - yC = mCD(x-xC)
y - 8 = -½(x-0)
y - 8 = -½x
y = -½x + 8 ( A ) ✓