Which of the following is an equation of a line perpendicular to the equation y=-6x+7
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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