The slope of the line represented by the equation y = 5x + 4 is 5.
In this equation, which is in the slope-intercept form y = mx + b, the m represents the slope and the b represents the y-intercept. Here, m is 5 and it indicates that for every unit increase in x, y increases by 5 units.
The positive value of the slope indicates that the line rises as we move from left to right on the graph. This means that the line is inclining upward, reflecting a direct relationship between x and y.
So, to summarize, the slope of the equation y = 5x + 4 is determined by the coefficient of x, which is 5.