Example!1:!Determine!if!point! 2,4 !is!on!the!line!! ! = !! ! − 1?!
!Method!1:!Graphically!!
Method!2:!Algebraically!graphtheline doeslhepointmaketheequationtrue ?Lslookmdseetisthepointontheline ?
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k4÷3-1
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the point Dnstontheline
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!Recall:!The!parent!linear!function!is!! ! = !!!Example!2:!Graph!the!function!and!then!compare!the!graph!to!the!parent!linear!function.!! ! = ! + 3!!!!!!!!!!!!!
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gkdhasadiffoerty .int.
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fk )
• •
gkdisshifledup •
3 units •
!Direct!Variation—a!function!in!the!form!! ! = !"!or!! = !"!where!! ≠ 0!!!!—constant!of!variation!!!formula!for!the!constant!of!variation:!!!!!!!!!
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c- Slope JustProblems
W1%intof o
y¥T x
sbpe→K=¥
.
Example!3:!Find!the!constant!of!variation!! ! = !
! !!Try!it:!Find!the!constant!of!variation!! = −!!
!!!!
2- - 1
3
Example!4:!Determine!if!the!equation!is!an!example!of!direct!variation.!If!it!is,!find!the!constant!of!variation.!! = 2! + 1!!
Try!it:!Determine!if!the!equation!is!an!example!of!direct!variation.!If!it!is,!find!the!constant!of!variation.!
! = −3!!
Try!it:!Determine!if!the!equation!is!an!example!of!direct!variation.!If!it!is,!find!the!constant!of!variation.!
−! = 10!!!
Try!it:!Determine!if!the!equation!is!an!example!of!direct!variation.!If!it!is,!find!the!constant!of!variation.!!!
!
No, yint is not 0 Yes
. y- int is 0
k =-3
To to fftmiitbb Yesy=ff if b :O its K .
- ID. V
.
÷o=K
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