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

• A. 2
• B. -2
• C. 3
• D. 0

Answer: (A)

The equation given is in slope-intercept form, which is expressed as ( y = mx + b ), where ( m ) represents the slope of the line and ( b ) represents the y-intercept. In the equation ( y = 2x + 3 ), it is clear that the coefficient of ( x ) is ( 2 ). This means that for every unit increase in ( x ), the value of ( y ) increases by ( 2 ). Therefore, the slope of the line is ( 2 ).

This understanding is crucial because it directly indicates the steepness of the line on a graph: a slope of ( 2 ) means the line rises steeply as you move to the right. The y-intercept, which is ( 3 ), tells us the point where the line crosses the y-axis, but it doesn't affect the slope. Thus, identifying the slope from the given equation correctly leads to the conclusion that the slope is ( 2 ).