Final answer:
The slope of the equation 5x = 45 is zero because it represents a horizontal line with no vertical change as you move along the line, yielding a rise over run ratio of 0. The correct answer is A) Zero.
Step-by-step explanation:
To determine the slope of the equation 5x = 45, we first convert the equation to slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept. The given equation only has an x-term and can be rewritten as y = 0, which is a horizontal line. In this case, there is no rise over the run, which means the slope of the line is zero. The correct answer is A) Zero.
In contrast, an undefined slope occurs in vertical lines, where the x-value is constant, and there is a change in the y-value, but this is not the case for the given equation. The slope of a line indicates how steep the line is and the direction in which it tilts. A slope of zero represents a horizontal line, and since there is no vertical change as you move along the line, the rise over run ratio is 0.