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 
Ordered pairs  (2,1)  (1,2)  (0,3)  (1,4)  (2,5) 
Ordered pairs for the graph y = 2x + 3
x  2  1  0  1  2 
y = 2x + 3  1  1  3  5 
7 
Ordered pairs  (2,1)  (1,1)  (0,3)  (1,5)  (2,7) 
Ordered pairs for the graph y = x + 3
x  2  1  0  1  2 
y = x + 3  5  4  3  2  1 
Ordered pairs  (2,5)  (1,4)  (0,3)  (1,2)  (2,1) 
Ordered pairs for the graph y = 2x + 3
x  2  1  0  1  2 
y = 2x + 3  7  5  3  1 
1 
Ordered pairs  (2,7)  (1,5)  (0,3)  (1,1)  (2,1) 
Observing above graphs:
1. All these lines slopes are different.
2. All these lines yintercept is equal and yintercept is 3.
3. Each straight line intersects Yaxis at (0,3).
4. yintercept 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
