anonymous
  • anonymous
Two points A (-2,6) and B (-8,4) are given. a) Show that the point B is the mirror image of the point A with respect to the line 3x+y+10=0
Mathematics
schrodinger
  • schrodinger
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anonymous
  • anonymous
In order to show that A and B are the mirror images of each other over line 3x+y+10=0, we need to figure out the slope of the line between A and B and the closest distance between A and the line and B and the line. This should show that the line going through A and B is perpendicular to 3x+y+10=0. The two distances should also be equal to each other.
dumbcow
  • dumbcow
the line perpendicular to y=-3x-10 is: y = 1/3x +20/3 Both A and B lie on the line. The midpoint of AB is (-5,5) The point where the 2 lines intersect is also (-5,5) Therefore they are equal distances away from each other
anonymous
  • anonymous
team work :)

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