NAME
PERIOD
MATH 8 L I N E A R FUNCTIONS PAIRED A C T I V I T Y
1 . F o r t h e l i n e a r e q u a t i o n , 2x -3y
= - 1 2 , answer the following:
a. W h a t f o r m i s t h e e q u a t i o n ?
b. W h a t m e t h o d w o u l d y o u u s e t o graph i t a n d w h y ?
c. G r a p h :
d. R e s t a t e t h e e q u a t i o n i n t o slope intercept f o r m :
e. W h a t d o y o u s e e n o w ( i f a n y t h i n g ) t h a t y o u d i d n ' t s e e i n t h e p r e v i o u s
form?
f. W o u l d t h i s c h a n g e h o w y o u w o u l d g r a p h i t ? I f so, h o w ?
g. W h a t w o u l d the g r a p h l o o k l i k e n o w ?
h. Restate the equation into point slope f o r m :
i.
W h a t d o y o u see n o w ( i f a n y t h i n g ) t h a t y o u d i d n ' t see i n t h e
intercept form?
j . W o u l d this change h o w y o u w o u l d g r a p h it? I f so, h o w ?
k.
W h a t w o u l d the graph look like n o w ?
NAME
2 . F o r t h e l i n e a r e q u a t i o n , 2x -3y
PERIOD
= 15, a n s w e r t h e f o l l o w i n g :
a.
W h a t f o r m is the e q u a t i o n ?
b.
W o u l d y o u use this f o r m to graph it? I f not, w h i c h f o r m o f the line
w o u l d y o u transform it into and w h y ?
c. G r a p h u s i n g t h e f o r m o f t h e l i n e y o u h a v e s e l e c t e d :
d. R e s t a t e the e q u a t i o n i n t o p o i n t slope f o r m :
e.
W h a t w o u l d the graph l o o k like n o w ?
NAME
For the linear equation,
PERIOD
— 2 = — ( x — 3 ) , answer the following:
a.
W h a t f o r m is the equation?
b.
W o u l d y o u use this f o r m to graph it? I f not, w h i c h f o r m o f the line
w o u l d y o u transform it into and w h y ?
c. G r a p h u s i n g t h e f o r m o f t h e l i n e y o u h a v e s e l e c t e d :
d. Restate the e q u a t i o n into slope intercept f o r m :
e.
Is this f o r m easier o r harder to graph f o r this linear equation?
Why?
f. R e s t a t e t h e e q u a t i o n i n t o s t a n d a r d f o r m :
g. Is t h i s f o r m easier o r h a r d e r t o g r a p h ?
Why?
NAME
PERIOD
NAME
PERIOD,
SOLVE T H EFOLLOWING M Y S T E R Y LINES
(use a n y f o r m o f the hnear equation and do n o t graph!):
4. Y o u r Hne passes t h r o u g h t h e p o i n t ( 3 , - 5 ) a n d has a slope o f -2
5. Y o u r line passes t h r o u g h t h e t w o p o i n t s ( 3 , - 5 ) a n d ( 4 , - 1 ) .
6 . Y o u r l i n e h a s a y i n t e r c e p t o f 5 a n d s l o p e o f 1/4.
7. Y o u r l i n e has a y intercept o f 5 and passes t h r o u g h ( 1 , - 3 )
8.
F i n d the linear equation: