Final answer:
The slope of the equation Y = 7% is C. 0, representing a horizontal line with zero slope. To find the slope between two points, use the formula (y2 - y1) / (x2 - x1); for points (1, 0.1) and (7, 26.8), the slope is 4.5.
Step-by-step explanation:
The slope of the equation Y = 7% is C. 0, since the equation represents a horizontal line where the value of Y does not change regardless of the value of X. In a general linear equation Y = mx + b, the slope is represented by the coefficient m in front of X. However, since there is no X term in the given equation, it can be inferred that m equals 0, resulting in zero slope.
When comparing the appearance of a positive slope to a negative slope and zero slope, a positive slope indicates that the line rises from left to right, a negative slope means the line falls from left to right, and a zero slope indicates a horizontal line. As an example, in Figure A1 Slope and the Algebra of Straight Lines, the slope of the line is 3, indicating a positive slope where there is a rise of 3 on the vertical axis for every increase of 1 on the horizontal axis.
To determine the slope for a line through two given points, one can use the formula: slope = (y2 - y1) / (x2 - x1). Applying this formula to the points (1, 0.1) and (7, 26.8), we get slope = (26.8 - 0.1) / (7 - 1) = 26.7 / 6 = 4.45, which rounds to 4.5, so the answer is b. 4.5.