Linear Equations
Different y-intercepts and Zero Slope
Example 1 - Different y-intercepts
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y = ½x + 1 |
|
x |
y |
|
0 |
1 |
| 1 |
1½ |
| 2 |
2 |
| 3 |
2½ |
| 4 |
3 |
|
y = ½x + 3 |
|
x |
y |
|
0 |
3 |
| 1 |
3½ |
| 2 |
4 |
| 3 |
4½ |
| 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.
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