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    Topics || Problems

    Plot the graph of the equation \(x^2 + y^2 +7x +5y-10=0\).

    To the plot the graph, determine the type of curve by writing the equation into its standard form.

    \(x^2 + y^2 +7x +5y-10=0\)

    \(x^2 +7x +y^2+5y=10\)

    \( (x^2 +7x) + (y^2+5y)=10\)

    \( (x^2 +7x + \frac{49}{4}) + (y^2+5y +\frac{25}{4})=10 + \frac{49}{4} + \frac{25}{4}\), Completing the square

    \((x+\frac{7}{2})^2 +(y+\frac{5}{2})^2 = \frac{57}{2}\)

    The equation represents a circle with center at \((-3.5,-2.5)\) and radius equal to \(5.339\)

    Graph

    equation of a circle at (-3.5,-2.5) with r = 5.339