What is the slope of the line represented by the equation y = 2x + 3?

In the equation ( y = 2x + 3 ), this is presented in the slope-intercept form, which is expressed as ( y = mx + b ). Here, ( m ) represents the slope of the line, and ( b ) is the y-intercept, which indicates where the line crosses the y-axis.

In this particular equation, the coefficient of ( x ) is 2. This means that for every unit increase in ( x ), the value of ( y ) increases by 2 units. Therefore, the slope of the line is 2.

Understanding the concept of slope is crucial in algebra, as it indicates the direction and steepness of the line on a graph. A slope of 2 indicates a relatively steep positive slope, meaning the line rises from left to right. This fundamental aspect of linear equations is vital for graphing and understanding the relationship between variables.