Final answer:
The equation of the line parallel to y = -13x + 5 and passing through the point (3,4) is y = -13x + 43.
Step-by-step explanation:
The equation of the line parallel to y = -13x + 5 and passing through the point (3,4) can be found by observing that parallel lines have the same slope. Since the given line has a slope of -13, the parallel line will also have a slope of -13. Using the point-slope form of a linear equation, y - y1 = m(x - x1), we can substitute the values of (x1, y1) = (3,4) and m = -13 to find the equation of the line:
y - 4 = -13(x - 3)
Expanding the equation gives: y = -13x + 43