Equation of the Tangent Line
Equation of the Tangent Line
Equation of the Tangent Line
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<strong>Equation</strong> <strong>of</strong> <strong>the</strong> <strong>Tangent</strong> <strong>Line</strong> to a Circle1. Give <strong>the</strong> equation <strong>of</strong> <strong>the</strong> circle. Then find <strong>the</strong> equations <strong>of</strong> <strong>the</strong> vertical and horizontaltangent lines to <strong>the</strong> cirle graphed below.Title: May 149:26 AM (1 <strong>of</strong> 4)
2. Find <strong>the</strong> equations <strong>of</strong> <strong>the</strong> horizontal and vertical tangents to <strong>the</strong> circle given byTitle: May 149:28 AM (2 <strong>of</strong> 4)
For all "slanted" tangents follow <strong>the</strong>se steps:• sketch• find slope <strong>of</strong> radius• find slope <strong>of</strong> tangent line• use y = mx + b to find <strong>the</strong> equation <strong>of</strong> <strong>the</strong> tangent line3. Find <strong>the</strong> equation <strong>of</strong> <strong>the</strong> tangent to at (4,-5).Title: May 149:31 AM (3 <strong>of</strong> 4)
For all "slanted" tangents follow <strong>the</strong>se steps:• sketch• find slope <strong>of</strong> radius• find slope <strong>of</strong> tangent line• use y = mx + b to find <strong>the</strong> equation <strong>of</strong> <strong>the</strong> tangent line4. Find <strong>the</strong> equation <strong>of</strong> <strong>the</strong> tangent to at (2,-1).Title: May 149:35 AM (4 <strong>of</strong> 4)