Answer:
The equation of the line would be y = 1/3x + 5/3
Step-by-step explanation:
In order to find the equation of the line, we first need to note that the slope of perpendicular lines are opposite and reciprocal. Therefore, if the slope of the original line is -3, then the slope of the perpendicular line is 1/3. Using this and the given point in point-slope form, we can find the equation.
y - y1 = m(x - x1)
y - 3 = 1/3(x - 4)
y - 3 = 1/3x - 4/3
y = 1/3x + 5/3