Answer:
y + 4 = -3(x - 2)
Step-by-step 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: [tex]y-y_{1} =m(x-x_{1})[/tex]
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.
