Answer :
Answer:
y = 2x
Step-by-step explanation:
calculate the slope of AB using the slope formula
m = [tex]\frac{y_{2} -y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = A (8, 3) and (x₂, y₂ ) = B (12, 1 )
[tex]m_{AB}[/tex] = [tex]\frac{1-3}{12-8}[/tex] = [tex]\frac{-2}{4}[/tex] = - [tex]\frac{1}{2}[/tex]
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}{-\frac{1}{2} }[/tex] = 2
the equation of a line passing through the origin (0, 0 ) is
y = mx
here m = 2 , then
y = 2x ← equation of perpendicular line