Napisz równianie prostej prostopadłej do prostej 2x + 7y +1 = 0 i przechodzącej przez punkt A = ( 5,1).
2x + 7y +1 = 0
7y=-2x-1
y=-2/7x-1/7
y=7/2x+b a(5,1)
1=7/2*5+b
b=1-17,5
b=-16,5
y=7/2x-16,5
a1*a2=-1 z rownania na prosta prostopadła
-2/7*a2=-1
a2=7/2
a2=3,5
y=a2x+b
y=3,5x+b
A(5,1)
1=3,5*5+b
1=17,5+b
y=3,5x-16,5 rownanie prostej
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2x + 7y +1 = 0
7y=-2x-1
y=-2/7x-1/7
y=7/2x+b a(5,1)
1=7/2*5+b
b=1-17,5
b=-16,5
y=7/2x-16,5
7y=-2x-1
y=-2/7x-1/7
a1*a2=-1 z rownania na prosta prostopadła
-2/7*a2=-1
a2=7/2
a2=3,5
y=a2x+b
y=3,5x+b
A(5,1)
1=3,5*5+b
1=17,5+b
b=1-17,5
b=-16,5
y=3,5x-16,5 rownanie prostej