Final answer:
The slope of the line defined by the equation y = -3x + 2 is -3, which is option A). This is derived from the coefficient of the x variable in the linear equation form. Option A
Step-by-step explanation:
The slope of a line represented by the equation y = mx + b is the coefficient m that is in front of the x variable. In the given equation y = -3x + 2, the coefficient in front of x is -3. Hence, the slope of the line is -3.
Regarding the other information provided for reference, it is important to know that all the given equations A. y = -3x, B. y = 0.2 +0.74x, and C. y=-9.4 - 2x are linear equations because they have x raised to the first power, and their graphs will be straight lines.
Each line's slope is the coefficient of x in the equation. Additionally, when calculating the slope between two points like Point 1: (1, 0.1) and Point 2: (7, 26.8), one would use the formula (y2 - y1) / (x2 - x1) to find the slope. Option A