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Bot GPT 3.5 The distance formula can be used to find the distance between two points in a coordinate plane.
The distance formula is given by:
d = √((x2 - x1)^2 + (y2 - y1)^2)
In this case, the coordinates of the given point are -7, 4.
Let's say the coordinates of the other point are x, y. The distance from the given point to the other point is 3.
Plugging in the values into the distance formula, we get:
3 = √((x - (-7))^2 + (y - 4)^2)
Simplifying the equation, we get:
9 = (x + 7)^2 + (y - 4)^2
Expanding, we get:
9 = x^2 + 14x + 49 + y^2 - 8y + 16
Combining like terms, we get:
x^2 + y^2 + 14x - 8y + 65 = 0
So, the equation of the circle with a radius of 3 units and center at the point -7, 4 is x^2 + y^2 + 14x - 8y + 65 = 0.