Lines
Part 1 
y
= mx
+ b 
Enter m
= 1, b = 0
gives
y = 1x + 0 or y = x
m =
slope b
= y intercept i.e. (0, b)

Click Graph, then Click Store.
Use this graph to compare 
1 . Enter m
= 1, b =
2 
Predict
which way the graph will SHIFT? 

Now click Graph. 
2. Enter m
= 1, b =
2

Predict
which way the graph will SHIFT? 

Now click Graph. 
3. Enter m
= 1, b =
3/2

Predict
which way the graph will SHIFT? 

Now click Graph. 
Linear
Part 2 
y
= mx
+ b 
Enter m
= 1, b = 0
gives
y = 1x + 0 or y = x
m =
slope b
= y intercept i.e. (0, b)

Click Graph, then Click Store.
Use this graph to compare 
1 . Enter m
= 1, b = 2/5 
Predict
which way the graph will SHIFT? 

Now click Graph. 
2. Enter m
= 1, b = 8 (change
window to fit)

Predict
which way the graph will SHIFT? 

Now click Graph. 
3. Enter m
= 1, b = 9 (change
window to fit)

Predict
which way the graph will SHIFT? 

Now click Graph. 
Lines
Quick Quiz 
Without
graphing predict which way the graph will shift from y = x 
1. y
= x + 3 
Predict
which way the graph will SHIFT? 

Verify
with grapher 
2. y
= x  3 
Predict
which way the graph will SHIFT? 

Verify
with grapher 
3. y
= x  2/3 
Predict
which way the graph will SHIFT? 

Verify
with grapher 
4. y
= x + 5/4 
Predict
which way the graph will SHIFT? 

Verify
with grapher 
Linear
Part 3 
y
= mx
+ b 
Enter m
= 1, b = 0
gives
y = 1x + 0 or y = x
m =
slope b
= y intercept i.e. (0, b)

Click Graph, then Click Store.
Use this graph to compare
 Increases
means the line rises from left to right (positive
slope)
 Decreases
means the line falls from left to right (negative
slope)

1 . Enter m
= 2/3 b =
0 
Predict
which way the graph will CHANGE? 

Now click Graph. 
2. Enter m
= 2, b =
0

Predict
which way the graph will CHANGE? 

Now click Graph. 
3. Enter m
= 8, b =
0

Predict
which way the graph will CHANGE? 

Now click Graph. 
4. Enter m
= 1/10, b =
0

Predict
which way the graph will CHANGE? 

Now click Graph. 
5. Enter m
= 0, b =
0 (try b=1,2, 1/2)

Predict
which way the graph will CHANGE? 

Now click Graph. 
Lines
Altogether 
Predict
the following shifting, then verify using grapher. 
y
= 2x  3 
y
= 2x  4 
y
= (1/4) + 1 
y
= 2 (HINT: m = 0) 
y
= 25x =3 
