Circle has the equation x 2 + y 2 - 6 x + 10 y - 15 = 0 , how do you graph the circle using the center (h,k) radius r?

Question

Circle has the equation                   x        2            +              y        2            -      6      x      +      10      y      -      15      =      0      , how do you graph the circle using the center (h,k) radius r?

Helen Merritt · Accepted Answer

A two-dimensional number line, such as two perpendicular number lines oraxes, can be thought of as a coordinate system. This coordinate system is typical: The x-axis and y-axis are the names of the horizontal and vertical axes, respectively. The origin is the point at which all lines in a coordinate system intersect.

Riley Cisneros · Accepted Answer

The standard equation of a circle, center         C     =            (       h       ,       k       )          and radius         =     r     is                         (         x         -         h         )              2          +                     (         y         -         k         )              2          =            r       2          Complete the square to change the given equation to standard form.                x       2          +            y       2          -     6     x     +     10     y     -     15     =     0                    x       2          -     6     x     +            y       2          +     10     y     =     15                    x       2          -     6     x     +     9     +            y       2          +     10     y     +     25     =     15     +     9     +     25                             (         x         -         3         )              2          +                     (         y         +         5         )              2          =     49     =            7       2          The center is         =            (       3       ,       -       5       )          and the radius is         =     7     The graph is as follows : graph{x^2+y^2-6x+10y-15=0 [-14.8, 17.23, -12.3, 3.72]}

Circle has the equation x^2+y^2-6x+10y-15=0, how do you graph the circle using the center (h,k) radius r?

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