The slope of the linear equation $y = 7x - 1$ is 7.

To find the slope of the equation $y = 7x - 1$, we need to examine the coefficient of $x$. In the standard form of a linear equation, represented as $y = mx + c$, the variable $m$ denotes the slope, while $c$ represents the y-intercept. In our equation, it is already presented in this form, where $m = 7$ and $c = -1$. Thus, the slope is simply the value of $m$, which is 7.

The slope of a line provides insight into its steepness and direction. A positive slope, such as 7, indicates that the line rises as it moves from left to right. Specifically, for every unit increase in $x$, the value of $y$ increases by 7 units. This steepness is quite pronounced, demonstrating a rapid increase in $y$ relative to $x$.

Understanding the slope is essential for graphing the line and analyzing its behavior. For example, if you were to plot the equation $y = 7x - 1$ on a graph, you would begin at the y-intercept, which is -1 (the point where the line intersects the y-axis). From this point, you would move up 7 units for each 1 unit you move to the right, effectively following the slope. This method aids in visualizing and predicting the trajectory of the line on the coordinate plane.