Notes with answers - Summit Schools
Notes with answers - Summit Schools
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