Final answer:
The correct equation of a linear relationship in slope-intercept form is represented as y = mx + b, with m as the slope and b as the y-intercept. Both A. y = mx + b and B. y = b + mx are correct and interchangeable representations of this formula.
Step-by-step explanation:
The equation of a linear relationship in slope-intercept form is universally represented as y = mx + b, where m denotes the slope of the line, and b represents the y-intercept. The slope, m, is a measure of the steepness of the line, defined as the rise over run. The y-intercept, b, is the point where the line crosses the y-axis and is given by the coordinate (0, b).
Out of the given options, A. y = mx + b and B. y = b + mx are essentially the same and correctly represent the slope-intercept form of a linear equation. It is important to note that while the order of m and b can be reversed, the coefficient of x (the slope, m) and the constant term (the y-intercept, b) are what define the structure of the equation. Therefore, both A and B are correct representations of the slope-intercept form.