Section 2.8 Distance and Midpoint Formulas; Circles

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Section 2.8Distance and Midpoint
FormulasCircles
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• The Distance Formula

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Example
Find the distance between (4,-5) and (9,-2).
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• The Midpoint Formula

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(6,8)
(-1,5)
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Example
Find the midpoint of the segment whose endpoints
are (-1,7) and (-5,9).
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• Circles

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Graphing Calculator
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Write the standard form of the equation of the
circle with center (-4,1) and radius of 3.
Standard Form
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(-4,1)
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Find the center and radius of the circle whose
equation is Graph the equation. Use the graph to
identify the relations domain and range. Why is
it a relation and not a function?
Center(-3,4) radius3
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Domain -6,0 Range1,7
(-3,4)
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Example
Write the standard form of the equation of the
circle with center at (-2,7) and a radius of 5.
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Example
Find the center and radius of the circle whose
equation is below. Graph the equation. Use the
graph to identify the relations domain and range.
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General Form
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Example
Complete the square and write the equation in
standard form. Then give the center and radius of
the circle and graph the equation.
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Example
Complete the square and write the equation in
standard form. Then give the center and radius
of the circle and graph the equation.
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Find the distance between the points (-1,8) and
(9,5).
(a) (b) (c) (d)
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Find the midpoint of the line segment with the
endpoints of (-1,-1) and (- 5,8).
(a) (b) (c) (d)
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Write the equation of the line with center at
(0,7) and a radius of 4.
(a) (b) (c) (d)