Final answer:
To find an equation that is parallel to y = -3x + 4 and passes through (-3, 4), we look for a line with the same slope, which is -3. Using the point-slope form and the given point, we find that the equation y = -3x - 5 is parallel and passes through the specified point, corresponding to answer B.
Step-by-step explanation:
The question asks which equation is parallel to y = -3x + 4 and also passes through the point (-3, 4). To determine this, we should first understand that parallel lines have the same slope. Since the slope of the given line is -3, any parallel line must also have a slope of -3. Next, we find the equation of the line that has this slope and passes through the given point by using the point-slope form:
y - y1 = m(x - x1)
Substituting the given point (-3, 4) and slope -3 into the point-slope form, we get:
y - 4 = -3(x + 3)
Expanding this, we have:
y - 4 = -3x - 9
Adding 4 to both sides gives us the equation of the line:
y = -3x - 5
Therefore, the correct answer is B. y = -3x - 5.