Final answer:
The correct linear function with a slope of 2 and a y-intercept of -6 is represented by the equation y = 2x - 6, which is option A.
Step-by-step explanation:
The student is asking about the equation of a linear function that has a specific slope and y-intercept. The standard form for representing a linear equation is y = mx + b, where m represents the slope and b represents the y-intercept. Based on the information provided, which indicates a slope of 2 and a y-intercept of -6, the correct equation would be y = 2x - 6. Therefore, the answer is A) y = 2x - 6. This equation confirms that for every unit increase in x, y increases by 2 units, and the line intersects the y-axis at -6.