Answer:
perpendicular slope = - [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Calculate the slope m of the line using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 1) and (x₂, y₂ ) = (- 2, - 3) ← 2 points on the line
m = [tex]\frac{-3-1}{-2-0}[/tex] = [tex]\frac{-4}{-2}[/tex] = 2
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{2}[/tex]
