What is the slope of the line represented by the equation y = 3x + 5?

In the equation ( y = 3x + 5 ), the slope-intercept form of a linear equation is demonstrated, which is expressed as ( y = mx + b ). In this format, ( m ) represents the slope of the line, while ( b ) represents the y-intercept, which is the point at which the line crosses the y-axis.

Here, the coefficient of ( x ), which is 3, indicates the slope of the line. This means that for every unit increase in ( x ), ( y ) increases by 3 units. This positive slope shows an upward trend as you move from left to right on the graph. Consequently, the slope of the line represented by this equation is 3. Understanding this form allows for easy identification of both the slope and intercept, essential for graphing linear equations and analyzing their properties.