Answer:
Option (2)
Step-by-step explanation:
Given equation of a line → y =
Slope of the line 'm₁' =
Let the equation of a line perpendicular to the given line is,
y = m₂x + b
Here, m₂ = Slope of the perpendicular line
b = y-intercept
By the property of perpendicular lines,
m₁ × m₂ = -1
Therefore,
m₂ = -2
Equation of the perpendicular line will be,
y = -2x + b
Since the perpendicular line passes through a point (-3, 4)
4 = 6 + b
b = -2
Therefore, equation of the perpendicular line wiil be,
y = -2x - 2
Option (2) will be the answer.