Final answer:
The slope of the line represented by the equation y - 4 = 7(x + 5) is 7, as it can be compared to the slope-intercept form of a line.
Step-by-step explanation:
The question asks to determine the slope of the line represented by the equation y - 4 = 7(x + 5). This equation can be interpreted as a line in slope-intercept form y = mx + b, where m is the slope and b is the y-intercept. In the given equation, by comparing it to the slope-intercept form, we directly see that the slope m is 7 since the number multiplied by (x+5) is 7. Therefore, the slope of the line is 7.