Final answer:
The slope of the equation represented by -7/5 is -7/5, indicating a negative slope, meaning the line decreases from left to right. The correct answer is D) 7/5.
Step-by-step explanation:
The slope of an equation describes how steep a line is. If an equation is represented by a fraction like -7/5, this fraction itself represents the slope. The numerator corresponds to the vertical change (rise) and the denominator to the horizontal change (run).
So, the slope of the line represented by -7/5 is negative, meaning that as one moves from left to right along the line, it will go downward. A negative slope indicates that the line is slanted downwards from left to right. Therefore, the slope of the equation is -7/5, which corresponds to option D.
By contrast, a positive slope would indicate the line slants upwards from left to right, whereas a zero slope indicates a horizontal line with no vertical change as one moves along it.
In general, the concept of slope is crucial in understanding linear relationships in algebra and coordinate geometry.