# SOLUTION: write the equation of the line that is tangent to the circle 25= x^2+y^2 at the point (3,4)

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 Question 609829: write the equation of the line that is tangent to the circle 25= x^2+y^2 at the point (3,4)Answer by ewatrrr(10682)   (Show Source): You can put this solution on YOUR website! ``` Hi Note: Standard Form of an Equation of a Circle is where Pt(h,k) is the center and r is the radius ||Vertex(0,0), radius of 5 line that is tangent to the circle 25= x^2+y^2 at the point (3,4) (3,4) (0,0) m = 4/3, which is the slope of the radius, slope of the tangent line = -(3/4) y = (-3/4)x + b 4 = (-3/4)3 + b, b = 25/4 and y = (-3/4)x + 25/4 See below descriptions of various conics Standard Form of an Equation of a Circle is where Pt(h,k) is the center and r is the radius Standard Form of an Equation of an Ellipse is where Pt(h,k) is the center. (a positioned to correspond with major axis) a and b are the respective vertices distances from center and ±are the foci distances from center: a > b Standard Form of an Equation of an Hyperbola opening right and left is: where Pt(h,k) is a center with vertices 'a' units right and left of center. Standard Form of an Equation of an Hyperbola opening up and down is: where Pt(h,k) is a center with vertices 'b' units up and down from center. the vertex form of a parabola opening up or down, where(h,k) is the vertex. The standard form is , where the focus is (h,k + p) the vertex form of a parabola opening right or left, where(h,k) is the vertex. The standard form is , where the focus is (h +p,k ) ```