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This is calculus. You need to use implicit differentiation and they plug in (2,5). At least that is what I recall from calculus.
ok thank you
Is that the course you are studying? Tangent lines are calculus.
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You could always use the fact that the radius is perpendicular to the tangent at the point of tangency.
The center of the circle is (0,0). The slope from (0,0) to (2,5) is 5/2 So the slope of the tangent is -2/5. Now write the equation of a line that contains the point (2,5) and has slope -2/5. That is the equation of the tangent.
Yes, but if you are in calculus your teacher will expect calculus notation.
How do you know the asker is in calculus?
Because that is a calculus question. I would ask that question if I was teaching calculus. It could be a geometry question, but not sure I would ask that question if I was teaching geometry.
Besides that is why I asked the asker what course they are in or studying?