Final answer:
None of the provided options correctly represents the line with a slope of 3 passing through the point (-3, 8). The equation derived using the point-slope form is y = 3x + 17, which does not match any of the options given.
Step-by-step explanation:
The question asks for the equation of a line with a slope of 3 that passes through the point (-3, 8). To determine which option represents this line, we can use the point-slope form of the equation of a line, which is y - y1 = m(x - x1), where m is the slope and (x1, y1) is a given point on the line.
Substituting the given point (-3, 8) and slope 3, we get y - 8 = 3(x - (-3)) or y - 8 = 3(x + 3). Expanding and simplifying gives us y = 3x + 9 + 8 or y = 3x + 17. Since none of the options exactly match our equation, we can see if any adjustments have been made that would still keep the slope the same and the line passing through the given point.
After reviewing the options, we can say that none of the given options (a, b, c, or d) correctly represents the line with a slope of 3 passing through the point (-3, 8). Each either has an incorrect slope, does not pass through the given point, or is not an equation for a straight line.