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Notes with answers - Summit Schools

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Your <strong>Notes</strong><br />

2.6 direct Variation<br />

Goal p Write and graph direct variation equations.<br />

Vocabulary<br />

Direct variation Two variables x and y show direct<br />

variation provided that y 5 kx where k is a nonzero<br />

constant.<br />

Constant of variation The nonzero constant k in a<br />

direct variation equation y 5 kx<br />

Example 1 Graph a Direct Variation Equation<br />

Graph y 5 5<br />

} x.<br />

3<br />

Solution<br />

Plot a point at the origin .<br />

Find a second point by substituting<br />

a convenient value for x .<br />

y 5 5 } x<br />

3<br />

Write equation.<br />

y 5 5 } ( 3 )<br />

3<br />

Substitute 3 for x.<br />

y 5 5 Simplify.<br />

A second point is (3, 5) .<br />

Plot the second point. Then draw a line through the<br />

two points.<br />

Checkpoint Graph the equation.<br />

1. y 5 23x<br />

1<br />

O<br />

y<br />

1<br />

40 Lesson 2.6 • Algebra 2 C&S Notetaking Guide Copyright © McDougal Littell/Houghton Mifflin Company<br />

x<br />

1<br />

O<br />

y<br />

1<br />

x

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