Final answer:
Without additional information describing the specific line, such as points on the line, its slope, or y-intercept, it's not possible to definitively determine which of the given equations (a, b, c, or d) is correct.
Step-by-step explanation:
To identify which of the given equations of the line is correct, let's start by analyzing the four options provided:
- Option a) y = 3x - 4
- Option b) y = -3x + 4
- Option c) y = 3x + 4
- Option d) y = -3x - 4
Unfortunately, the information provided doesn't describe a specific line, therefore we cannot definitively determine which of the given options is correct. Generally, when given an equation of a line in the slope-intercept form y = mx + b, m represents the slope and b represents the y-intercept. When m > 0, the line slopes upward to the right; when m = 0, the line is horizontal, and when m < 0, the line slopes downward to the right as suggested in Figure 12.4.
However, to answer the question precisely, additional information about the specific line in question such as two points on the line, the slope, or the y-intercept would be necessary which unfortunately, isn't available. Without this, the proper equation cannot be selected from the options provided.