Direct Variation 3.6. Direct Variation Direct Variation is when two variables can be expressed as...
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Transcript of Direct Variation 3.6. Direct Variation Direct Variation is when two variables can be expressed as...
![Page 1: Direct Variation 3.6. Direct Variation Direct Variation is when two variables can be expressed as y=kx where k is a constant and k is not 0. k is.](https://reader036.fdocuments.net/reader036/viewer/2022082613/5697bffa1a28abf838cc01eb/html5/thumbnails/1.jpg)
Direct Variation3.6
![Page 2: Direct Variation 3.6. Direct Variation Direct Variation is when two variables can be expressed as y=kx where k is a constant and k is not 0. k is.](https://reader036.fdocuments.net/reader036/viewer/2022082613/5697bffa1a28abf838cc01eb/html5/thumbnails/2.jpg)
Direct Variation
Direct Variation is when two variables can be expressed as y=kx where k is a constant and k is not 0.
k is called the constant of variation
Ex. y = 5x is direct variation while y = x + 5 is not
![Page 3: Direct Variation 3.6. Direct Variation Direct Variation is when two variables can be expressed as y=kx where k is a constant and k is not 0. k is.](https://reader036.fdocuments.net/reader036/viewer/2022082613/5697bffa1a28abf838cc01eb/html5/thumbnails/3.jpg)
Example 1
Does the equation represent a direct variation? 2x – 3y = 0
-x + y = 4
![Page 4: Direct Variation 3.6. Direct Variation Direct Variation is when two variables can be expressed as y=kx where k is a constant and k is not 0. k is.](https://reader036.fdocuments.net/reader036/viewer/2022082613/5697bffa1a28abf838cc01eb/html5/thumbnails/4.jpg)
Example 2
Graph a direct variation equation Y=2/3 x
y = -3x
![Page 5: Direct Variation 3.6. Direct Variation Direct Variation is when two variables can be expressed as y=kx where k is a constant and k is not 0. k is.](https://reader036.fdocuments.net/reader036/viewer/2022082613/5697bffa1a28abf838cc01eb/html5/thumbnails/5.jpg)
Write a direct variation Equation
Start with y = kx Substitute a known x and y Solve for k
![Page 6: Direct Variation 3.6. Direct Variation Direct Variation is when two variables can be expressed as y=kx where k is a constant and k is not 0. k is.](https://reader036.fdocuments.net/reader036/viewer/2022082613/5697bffa1a28abf838cc01eb/html5/thumbnails/6.jpg)
Example 3
Write the equation for the
direct variation represented
in the graph.
![Page 7: Direct Variation 3.6. Direct Variation Direct Variation is when two variables can be expressed as y=kx where k is a constant and k is not 0. k is.](https://reader036.fdocuments.net/reader036/viewer/2022082613/5697bffa1a28abf838cc01eb/html5/thumbnails/7.jpg)
Homework
p. 194-195: 3-9 all, 11-21 odd (graph paper and rulers needed), 23-25 all