Let's analyze each set of ordered pairs and identify the patterns before discussing the corresponding graphs.
Part A: Ordered Pairs (0,0), (1,1), (2,2), (3,3), (4,4)
These pairs represent points where both x and y coordinates are the same:
- (0,0)
- (1,1)
- (2,2)
- (3,3)
- (4,4)
Pattern Description: The graph will be a straight line that passes through the origin (0,0) and continues diagonally through the points. This indicates a linear relationship where y = x. As x increases, y increases at the same rate.
Part B: Ordered Pairs (0,10), (1,9), (2,8), (3,7), (4,6)
These pairs represent points where the x-coordinate increases by 1 while the y-coordinate decreases by 1:
- (0,10)
- (1,9)
- (2,8)
- (3,7)
- (4,6)
Pattern Description: The graph will present a straight line with a negative slope, starting from the point (0,10) and moving downwards to the right. This indicates a linear relationship where y decreases as x increases. The pattern can be described by the equation y = 10 - x.
Part C: Ordered Pairs (9,0), (9,3), (9,6), (9,9), (9,12)
These pairs show that the x-coordinate remains constant at 9, while the y-coordinate increases:
- (9,0)
- (9,3)
- (9,6)
- (9,9)
- (9,12)
Pattern Description: The graph consists of a vertical line located at x = 9. This indicates that no matter the value of y, the x-coordinate is always 9. This type of relationship shows that for a given x (in this case, 9), there are multiple corresponding y-values.
Graph Selection
Now, you would need to choose the correct graph based on the descriptions above. If you can provide the options visually or describe them in a way I can interpret, I can assist you in determining which graph corresponds to each ordered pair set. If there are any specific options A, B, C, or D, please describe them, and I'll help identify them accordingly.