a circle has diameter endpoints of A(5,10) and B(-3,4). what are the coordinates of the center of the circle
I need help
To find the coordinates of the center of the circle, you can use the midpoint formula. The midpoint of a line segment is the point that divides the segment into two equal parts.
The midpoint formula is:
Midpoint (M) = ((x1 + x2)/2 , (y1 + y2)/2)
In this case, the endpoints of the diameter are A(5,10) and B(-3,4). Let's plug in the coordinates into the formula:
Midpoint (M) = ((5 + (-3))/2 , (10 + 4)/2)
= (2/2 , 14/2)
= (1, 7)
Therefore, the coordinates of the center of the circle are (1, 7).