Final answer:
The equation that best describes the function shown is y = 10x - 5 (Option A).
Step-by-step explanation:
To determine the equation of a linear function, we need to consider the slope and y-intercept of the line. In the given options, only Option A has a slope of 10 and a y-intercept of -5. The slope of 10 represents how much the y-value increases for every 1 unit increase in the x-value, and the y-intercept of -5 represents the y-value when the x-value is 0.
For example, if we substitute x = 2 into the equation y = 10x - 5, we get y = 10(2) - 5 = 15. This means that when x = 2, y = 15. Similarly, if we substitute x = -1 into the equation, we get y = 10(-1) - 5 = -15. This means that when x = -1, y = -15.