Question

(NEED HELP!!!)Which of the following lines is perpendicular to y= 3x + 2?

A. y=3x -1/2

B. y=-1/3x+6

C. y=1/3x+2

D. y=3x+1/2

Answer 1

The correct answer is: [B]: " y = (-⅓)x + 6 " .
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Answer 2

`y=(-1)/(3)x+6`

Explanation:

We have to find the equation of the line from the options given which is perpendicular to the line y=3x+2.

In order to do so we must know that , the product of the slope of the two perpendicular lines is always -1

Hence

if the slope of line A is "m" and the line B which is perpendicular to A, will have
`-(1)/(m)\\`

Also , in the slope intercept form of any equation the coefficient of x is our slope. Hence the slope of y=3x+2., is 3

Hence the slope of any line perpendicular to this will be
`(-1)/(3)`

as the product of two slopes is -1

Hence in the given options only c options has the line whose slope is
`(-1)/(3)`