What is the slope of the line represented by the equation y = 3x - 7?

In the equation ( y = 3x - 7 ), the slope is represented by the coefficient of ( x ). The equation is written in slope-intercept form, which is ( y = mx + b ), where ( m ) is the slope and ( b ) is the y-intercept. In this case, the coefficient of ( x ) is 3, meaning that for every increase of 1 unit in ( x ), the value of ( y ) increases by 3 units. This establishes that the slope of the line is 3.

Understanding the role of the slope helps in visualizing how steep or flat a line is on a graph, which is crucial for interpreting linear relationships in various contexts.