Use the Given Information About a Circle to Write an Equation

question 244

Multiple Choice

Use the given information about a circle to write an equation of the circle in standard form.
-The endpoints of a diameter are $( 3,11 )$ and $( - 9 , - 5 )$ .

• A) \(( x - 3 ) ^ { 2 } + ( y - 11 ) ^ { 2 } = 100\)
• B) \(( x + 3 ) ^ { 2 } + ( y - 3 ) ^ { 2 } = 100\)
• C) \(( x - 3 ) ^ { 2 } + ( y + 3 ) ^ { 2 } = 20\)
• D) \(( x + 3 ) ^ { 2 } + ( y + 11 ) ^ { 2 } = 20\)

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Definitions:

Slope

The rate of change in the y-variable per unit change in the x-variable in a linear equation; measures the steepness of a line.

Regression Line

A straight line that best approximates the relationship between two variables in regression analysis, indicating the expected value of the dependent variable for a given value of the independent variable.

Confidence Interval

A range of values, derived from sample statistics, that is likely to contain the value of an unknown population parameter.

Seed Density

The number of seeds planted per unit area, which can influence plant growth, yield, and the ecological balance of an area.