Question

A is the point (8,3) and B is the point (12, 1).

Answer 1

Answer:

y = 2x

Step-by-step explanation:

calculate the slope of AB using the slope formula

m = $\frac{y_{2} -y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = A (8, 3) and (x₂, y₂ ) = B (12, 1 )

$m_{AB}$ = $\frac{1-3}{12-8}$ = $\frac{-2}{4}$ = - $\frac{1}{2}$

given a line with slope m then the slope of a line perpendicular to it is

$m_{perpendicular}$ = - $\frac{1}{m}$ = - $\frac{1}{-\frac{1}{2} }$ = 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