anonymous
  • anonymous
Consider the circle of the radius 5 centered at (0,0). Find an equation of the line tangent to the circle at the point (3,4) in slope intercept form. Thanks :)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
Does anyone know? I would really appreciate some help.
jdoe0001
  • jdoe0001
well, the circle.... hold one, lemme make a quick picture
anonymous
  • anonymous
Do you know what the equation for the circle is?

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More answers

anonymous
  • anonymous
(x-h)^2+(y-k)^2=r^2
jdoe0001
  • jdoe0001
as you can see from the picture above, you have a line, you have 2 points, the origin and the given (3, 4) using that, get the slope for the blue line of 5 units long
jdoe0001
  • jdoe0001
what the ?
jdoe0001
  • jdoe0001
1 Attachment
anonymous
  • anonymous
jdoe, no
jdoe0001
  • jdoe0001
from the picture there hehe
anonymous
  • anonymous
@joselin12 Find out the equation for the line going from the origin to the point, then the line perpendicular to that will be the slope of your tangent line.
jdoe0001
  • jdoe0001
right, you get that slope, then you use the "negative reciprocal" for the perpendicular :)
anonymous
  • anonymous
That's right jDoe
campbell_st
  • campbell_st
you don't even need to find the equation of the radius from (0,0) to (3, 4). Just find the slope. The radius and tangent intersect at right angles, meaning the tangent is perpendicular to the tangent. so of m = slope of radius, -1/m will be the slope of the tangent. then you can find the equation of the tangent.
jdoe0001
  • jdoe0001
joselin12 confused? do you need CPR? or maybe electrical shocks? dunno :)
campbell_st
  • campbell_st
so the slope of the radius is m = (4 - 0)/(3 -0) so the slope of the radius is 4/3 then the slope of the tangent is -3/4 using the slope intercept form of a straight line the equation is y = -3/4 x + b to find b, substitute x = 3 and y = 4 and solve for b
anonymous
  • anonymous
@jdoe0001 I'm still confused
jdoe0001
  • jdoe0001
@joselin12 see the picture above... you have a line from the origin to the edge of the circle at (3, 4) as FutureMathProfessor and campbell_st suggested, get its slope do you know how to find the slope from 2 points?
anonymous
  • anonymous
Thanks I understood the problem now. The answer I got is y= -3/4x+25/4
jdoe0001
  • jdoe0001
yw

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