Question

Graph the equation with a diameter that has endpoints (-3, 4) and (5, -2). Label the center and at least four points on the circle. Write the equation of the circle.

Help please?

Answer 1

Use the midpoint formula to find the center:
\[(\frac{ x₂+x₁ }{ 2 } ,\frac{ y₂+y₁ }{ 2 })\]
Use that center point and one of the endpoints to find the radius (distance formula)
Then, plug it in to the formula for a circle:
\[(x-h)²+(y-k)² = r²\]
Where (h,k) is the center point and r is the radius.

Answer 2

I got the coordinates (1,1)
(x - 1)² + (y - 1)² = 5²

Answer 3

The center is at (1,1), and the radius is 5. So yes, that's correct!