Answer:
y + 4 = -3(x - 2)
Explanation:
Perpendicular lines have opposite reciprocal slopes. Since the slope of the given line is 1/3, a perpendicular line would have a slope of -3. We know that the line goes through the point (2 , -4), so we can use point-slope form to write an equation.
Point slope:

y + 4 = -3(x - 2)
If necessary, this can be written in slope-intercept form as well. In this case, you'd solve for y.