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31 August, 06:55

The equation x^2+y^2-4x+2y=b describes a circle. Determine the y-coordinate of the center of the circle.

The radius of the circle is 7 units. What is the value of b in the equation?

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  1. 31 August, 07:05
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    X² + y² - 4 x + 2 y = b

    x² - 4 x + 4 + y² + 2 y + 1 = b + 4 + 1

    (x - 2) ² + (y + 1) ² = b + 5

    y - coordinate of the center of the circle is: y = - 1

    b + 5 = r

    b + 5 = 7

    b = 7 - 5

    b = 2
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