Final answer:
The slope of the equation y = -2x + 4/3 is -2. It represents a decline of 2 on the y-axis for every increase of 1 unit on the x-axis, and it does not need further simplification.
Step-by-step explanation:
The slope of the linear equation y = -2x + 4/3 can be identified by looking at the coefficient of the x term. In this equation, the slope is represented by the coefficient -2, which means that for every increase of 1 on the horizontal x-axis, there is a decline of 2 on the vertical y-axis. There is no need to simplify this slope further because -2 is already in simplest form. This tells us that the line falls to the left as it is graphed.
Figures describing the algebra of straight lines demonstrate that the slope, often denoted by the letter m, is constant along a straight line. According to these figures, the point at which the line crosses the vertical y-axis is the y-intercept, often represented by the letter b. In the context of the line of best fit and the equations of lines Y2 and Y3, all lines share the same slope. This slope remains unchanged and is unaffected by adding or subtracting the values surrounding the slope coefficient.