Which equation represents a linear relationship in slope-intercept form?

The equation that represents a linear relationship in slope-intercept form is expressed as y = mx + b. In this format, 'm' represents the slope of the line, indicating how steep the line is, while 'b' denotes the y-intercept, the point where the line crosses the y-axis. This specific structure clearly conveys the relationship between the variables x and y in a straightforward manner, making it easy to identify both the rate of change and the initial value of y when x is zero.

The slope-intercept form is particularly useful in graphing linear equations because both the slope and the y-intercept provide crucial information for sketching the line accurately. This makes it an ideal choice for representing linear relationships. Other options, while they may represent linear relationships in different contexts, do not conform to the standardized slope-intercept format.