Draw the following graphs.
y = x + 3, y = 2x+ 3, y = -x+3 and y = -2x+3.
Ordered pairs for the graph y = x + 3
| x | -2 | -1 | 0 | 1 | 2 |
| y = x + 3 | 1 | 2 | 3 | 4 | 5 |
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| Ordered pairs | (-2,1) | (-1,2) | (0,3) | (1,4) | (2,5) |
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Ordered pairs for the graph y = 2x + 3
| x | -2 | -1 | 0 | 1 | 2 |
| y = 2x + 3 | -1 | 1 | 3 | 5 |
7 |
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| Ordered pairs | (-2,-1) | (-1,1) | (0,3) | (1,5) | (2,7) |
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Ordered pairs for the graph y = -x + 3
| x | -2 | -1 | 0 | 1 | 2 |
| y = -x + 3 | 5 | 4 | 3 | 2 | 1 |
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| Ordered pairs | (-2,5) | (-1,4) | (0,3) | (1,2) | (2,1) |
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Ordered pairs for the graph y = -2x + 3
| x | -2 | -1 | 0 | 1 | 2 |
| y = -2x + 3 | 7 | 5 | 3 | 1 |
-1 |
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| Ordered pairs | (-2,7) | (-1,5) | (0,3) | (1,1) | (2,-1) |
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Observing above graphs:
1. All these lines slopes are different.
2. All these lines y-intercept is equal and y-intercept is 3.
3. Each straight line intersects Y-axis at (0,3).
4. y-intercept of verys line is 3.
5. All these straight lines are concurrent at the point (0.3).
Directions: Draw the following graphs.
y = x + 5, y = 2x+ 5, y = -x+5 and y = -2x+5
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