Final answer:
To draw the circle with the given center (6,-4) and another point (2,-1), we need to find the distance between them, which will be the radius of the circle. Using the distance formula, the radius is found to be 5. With this information, we can draw the circle.
Step-by-step explanation:
To draw the circle, we need to determine its radius. The distance between the center (6, -4) and another point on the circle (2, -1) is the radius of the circle. We can use the distance formula:
Distance = √((x2 - x1)^2 + (y2 - y1)^2)
So, in this case:
Distance = √((2 - 6)^2 + (-1 - (-4))^2)
Distance = √((-4)^2 + (3)^2)
Distance = √(16 + 9)
Distance = √25
Distance = 5
Therefore, the radius of the circle is 5. Now, we can draw the circle with the center (6, -4) and radius 5.