Respuesta :

Answer:

The equation of the perpendicular is y = 1/6x + 3 answer B

Step-by-step explanation:

If two lines are perpendicular then there is a relation between their slopes

[tex]m_{1}[/tex] × [tex]m_{2}[/tex] = -1

That means one of them is the additive inverse and multiplicative inverse to the other ex: if one of them is 2 then the other is -1/2

∵y = -6x + 7

∴m = -6

∴ m⊥ = 1/6

∴y = 1/6x + c but there is no information to find c

So we will look to the choices and chose which has slope 1/6

We will find only one choice has this value

∴ the right answer is B