Final answer:
The slope of the equation y = 3x + 7 is determined by the coefficient of x, which is 3. Hence, the correct answer is A) 3, representing a constant rise of 3 on the y-axis for every one unit increase on the x-axis.
Step-by-step explanation:
The slope of the equation y = 3x + 7 is determined by the coefficient of the x-term when the equation is in slope-intercept form, which is y = mx + b. Here, m represents the slope, and b represents the y-intercept. In the given equation, the coefficient of x is 3, which means the slope is 3. Therefore, the slope of the line is 3.
Based on this, the correct answer to the question is: A) 3. A line represented by the equation y = mx + b will have a constant slope all along its length. For each unit increase in x, y increases by the slope value.