anonymous
  • anonymous
Write the equation of the line perpendicular to y = 2x + 1 and passing through the point (-2,3).
Algebra
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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MrNood
  • MrNood
ok the general form of a straight line is y=mx + c compare that to YOUR equation y= 2x+1 what is the value equivalent to m, in YOUR equation?
anonymous
  • anonymous
the value that is equal to m is 2 . but i need perpendicular
MrNood
  • MrNood
OK - we're getting there m is the slope of the line the slope of a line perpendicular to that is -1/m so if the slope is 2 - what is the slope of the perpendicular line?

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anonymous
  • anonymous
-1/2
MrNood
  • MrNood
ok good so the equation of the perpendicular line is of the form y = -1/2 x +b but you are told that when x=-2 then y =3 (because the point given lies on the line) so put those values into the equation, and you can then work out what b is
anonymous
  • anonymous
3=2(-2)+1
MrNood
  • MrNood
no - it is y= (-1/2) x +b
MrNood
  • MrNood
put y = 3, and x= -2 you will then have an equation with b as the unknown value
anonymous
  • anonymous
b=2
MrNood
  • MrNood
so you now know m and b so write the new equation y = mx+b
anonymous
  • anonymous
y=-1/2+2
MrNood
  • MrNood
yes - just about... it's y = -1/2 x + 2 well done. Just remember - if you have a line of slope m then the perpendicular line has slope -1/m

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