AmTran_Bus
  • AmTran_Bus
Find the equation of a line.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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AmTran_Bus
  • AmTran_Bus
AmTran_Bus
  • AmTran_Bus
I know for a perp. line the slope is -1/m.
cwrw238
  • cwrw238
to find the slope convert the equation to the form y = mx + c

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cwrw238
  • cwrw238
6x - 12y = 1 12y = 6x - 1 divide through by 12 can you continue?
AmTran_Bus
  • AmTran_Bus
Sure. I divided by 12 to get y=1/2X - 1/2
cwrw238
  • cwrw238
not quite right its y = (1/2) x - 1/12 the slope of this line is 1/2 so whats the slope of the line perpendicular line?
AmTran_Bus
  • AmTran_Bus
It is the reciprocal and opposite. So is that -2?
cwrw238
  • cwrw238
yes now next step is to use the ordinates (1/2 , -2/7) the general form we use is y - y1 = m(x - x1) where m = slope and (x1,y1) is the given point
AmTran_Bus
  • AmTran_Bus
ohhhh ok. Let me get that real fast.
AmTran_Bus
  • AmTran_Bus
Can you help me divide out (-2/7)Y= -1+2x?
AmTran_Bus
  • AmTran_Bus
y+2x=(5/7)
AmTran_Bus
  • AmTran_Bus
I ment + 5/7
cwrw238
  • cwrw238
lets do this step by step: plug in y1 = -2/7, x = 1/2 and m = -2 y - (-2/7) = -2(x - 1/2) y + 2/7 = -2x + 1 y = -2x +5/7 y + 2x = 5/7
AmTran_Bus
  • AmTran_Bus
Nice. So y=-2x+5/7?
AmTran_Bus
  • AmTran_Bus
Thank you.
AmTran_Bus
  • AmTran_Bus
cwrw238
  • cwrw238
yea - you can write it either way or if you dont like fractions you can multiply through by 7 to give 7y + 14x = 5
AmTran_Bus
  • AmTran_Bus
That is very true! Can you get me started on the next one, posted above? Don't you just find the slope and pick one of those 2 points using point slope?
AmTran_Bus
  • AmTran_Bus
Remembering, that is, it is perpendicular?
cwrw238
  • cwrw238
yes - find slope between the 2 points, use slope of perpendicular = -1/m, then use this slope and given point to get equation as above
AmTran_Bus
  • AmTran_Bus
Thanks, God bless and have a great evening!
cwrw238
  • cwrw238
yw - ty

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