anonymous
  • anonymous
Find the equation of the line that contains the point (-1, 2) and is perpendicular to the line 2x + 4y = -2
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
slope of the required st. line = -1/(-1/2) = 2 y-2=2(x-(-1)) y-2=2x+2 y=2x+4
radar
  • radar
Do you know the relationship between a line and it perpendicular with regard to slope?
anonymous
  • anonymous
no

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radar
  • radar
There slope will be negative reciprocal. As shown by CoCoTsoi the slope of the line 2x+4y=-2 4y=-2x-2 y=(-2/4)-1/2 The coefficient of x is the slope is -2/4 or -1/2 so the negative reciprocal is 2 This is shown in the first line of the solution in the first post above.
anonymous
  • anonymous
ok thank you
radar
  • radar
It is an important relationship. The reciprocal of a number is a 1 divided by that number like the reciprocal of 3 is 1/3 of course a negative reciprocal of 3 is -1/3 the negative reciprocal of -3/5 would be 5/3 etc.

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