Linear Equations
Different yintercepts and Zero Slope
Example 1  Different yintercepts
y = Â½x + 1 
x 
y 
0 
1 
1 
1Â½ 
2 
2 
3 
2Â½ 
4 
3 
y = Â½x + 3 
x 
y 
0 
3 
1 
3Â½ 
2 
4 
3 
4Â½ 
4 
5 
Notice that changes to b (y intercept) will raise or
lower the line. Lines with the same slope are
always parallel  they never cross or intersect.
Example 2  Zero slope
y = 3
The equation y = 3 can also be written as y = 0x + 3.
This has a slope of zero, and results in a horizontal
line on the graph.
