Final answer:
The point (3,12) represents an ordered pair that satisfies both equation A (y = 4x) and equation B (y = x + 9), as it lies on the graphs of both linear equations.
Step-by-step explanation:
To determine what the point (3,12) represents in the context of the given equations, we need to identify which equation will yield a y value of 12 when x is 3.
- For equation A: y = 4x, if we insert x = 3, we get y = 4(3) = 12. Therefore, the point (3,12) does satisfy this equation.
- For equation B: y = x + 9, if we insert x = 3, we get y = 3 + 9 = 12. So, the point (3,12) also satisfies this equation.
- For equation C: y = 1/4x, if we input x = 3, we get y = 1/4(3) = 0.75. Hence, the point (3,12) does not satisfy this equation.
- For equation D: y = 12x, if x = 3 is used, the result is y = 12(3) = 36. Clearly, the point (3,12) does not match this equation.
Based on the above, (3,12) could represent an ordered pair on the graph of equation A and on the graph of equation B. Furthermore, both equations A and B are examples of linear equations, which are equations of the form y = mx + b, as seen in the reference information.