Question

PLEASE HELP ILL GIVE BRAINLIEST

Answer 1

Answer:

Option (2)

Step-by-step explanation:

Given equation of a line → y = $\frac{1}{2}x+3$

Slope of the line 'm₁' = $\frac{1}{2}$

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, $\frac{1}{2}\times m_{2}=-1$

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.