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Write an equation of circle at (2, -3) that is tangent to the x axis?

Write an equation of circle at (2, -3) that is tangent to the x axis? Topic: How to write an equation from two points
June 16, 2019 / By Kolleen
Question: What does it mean when it says tangent to the x axis? How would i solve this? when it says at (2/-3) i mean at the center.
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Best Answers: Write an equation of circle at (2, -3) that is tangent to the x axis?

Jayde Jayde | 5 days ago
When it says tangent to the x axis, it means that the circle hits the x axis exactly once. If you think of all the circles with center (2,-3), the small ones will never hit the x axis and the larger ones will hit it in two points, but there is exactly one circle which hits the x axis in only one point. Since the tangent to a circle is perpendicular to the radius to the point of tangency, the radius which goes from (2,-3) to that point on the x axis where the circle hits the axis must be vertical. Thus, the radius of the circle must be 3 (the distance from (2,-3) to the x axis), and so the equation is (x-2)^2 + (y+3)^2 = 3^2 = 9.
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Jayde Originally Answered: Write an equation of circle at (2, -3) that is tangent to the x axis?
When it says tangent to the x axis, it means that the circle hits the x axis exactly once. If you think of all the circles with center (2,-3), the small ones will never hit the x axis and the larger ones will hit it in two points, but there is exactly one circle which hits the x axis in only one point. Since the tangent to a circle is perpendicular to the radius to the point of tangency, the radius which goes from (2,-3) to that point on the x axis where the circle hits the axis must be vertical. Thus, the radius of the circle must be 3 (the distance from (2,-3) to the x axis), and so the equation is (x-2)^2 + (y+3)^2 = 3^2 = 9.
Jayde Originally Answered: Write an equation of circle at (2, -3) that is tangent to the x axis?
This Site Might Help You. RE: write an equation of circle at (2, -3) that is tangent to the x axis? What does it mean when it says tangent to the x axis? How would i solve this?

Eve Eve
This Site Might Help You. RE: write an equation of circle at (2, -3) that is tangent to the x axis? What does it mean when it says tangent to the x axis? How would i solve this?
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Eve Originally Answered: How do you write an equation in standard form with 2 points? HELPP,PLEASE :(?
Find the slope m = (3-1)/(-4-2) = -1/3 Pick a point to insert into point-slope form: y - y1 = m (x - x1) y - 1 = (-1/3) (x - 2) -3y + 3 = x - 2 x + 3y = 5
Eve Originally Answered: How do you write an equation in standard form with 2 points? HELPP,PLEASE :(?
( 2,1 ) & (-4,3) = (x1,y1) & (x2,y2) slope = (y2-y1)/(x2-x1) =(3-1)/(-4-2) =-1/3 (y-y1)=m(x-x1) <= m = slope (y-1)=-1/3(x-2) y=-1/3x+2/3+1 y=-1/3x+5/3

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