Final answer:
To determine the slope of line HI, one would need specific information about the line's orientation or points it passes through. Slopes can be positive, negative, or zero depending on whether the line is inclining, declining, or horizontal.
Step-by-step explanation:
The slope of a line is a measure of how steep the line is and how it increases or decreases as we move along the line. For a line described as HI without any specific points given, we cannot determine the slope. However, if given a line HI represented by certain options such as a straight line with a negative slope, a straight line with a positive slope, a horizontal line at some negative value, or a horizontal line at some positive value, we can infer the following:
- If line HI is a straight line with a positive slope, then option (a) could be correct.
- If line HI is a straight line with a negative slope, then option (b) could be correct.
- If line HI is a horizontal line at some negative value, which means it's a flat line not inclined, then the slope would be 0, which is option (c).
- If line HI is a horizontal line at some positive value, it would also have a slope of 0, aligning with option (c).
Giving the slope of the line that passes through two points can be found by using the formula slope (m) = (y2 - y1) / (x2 - x1). For example, given the points (1, 0.1) and (7, 26.8), we calculate the slope as follows:
m = (26.8 - 0.1) / (7 - 1)
m = 26.7 / 6
m = 4.45
Thus the slope of the line passing through these two points would be approximately 4.45.