Answer:
y = -3x + 7
Step-by-step explanation:
Using the equation of line
y = mx + C
y - y_1 = m(x - x_1)
First find the slope
With eqn y = 1/3x - 3
Note, if two lines are perpendicular, their slope will be negative reciprocal
slope = m = -3/1
Using y - y_1 = m(x - x_1)
With point ( 3, -2)
x_1 = 3
y_1 = -2
y - (-2) = -3/1(x - 3)
y + 2 = -3/1(x -3)
Open bracket
y + 2 = -3(x - 3)/1
y + 2 = (-3x +9)/1
y = (-3x + 9 )/1 - 2
LCM is 1
y = -3x + 9 - 2
y = -3x + 7
The equation of the line is
y = -3x + 7
