Can someone help me?

I’m having trouble with this problem of someone could help me that would be great.

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  • 2 months ago

    To get the equation of a circle you need its center (a, b) and its radius r.  Then the equation is

    (x - a)² + (y - b) ² = r²

    So use the midpoint formula to get the center

    (-5 + -3)/2, (6 + -4)/2 = (-4, 1)

    Then get the radius by distance formula (use this center and either endpoint)

    sqrt (-4 - -5)² + (1 - 6)² = sqrt1 + 25 = √26

    so your equation is (x - -4)² + (y - 1)² = √26²

    or (x + 4)² + (y - 1)² = 26

    Check the math but that's what you do.

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