Question

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

Answer 1

Answer:

$y=\frac{-1}{3}x+6$

Step-by-step 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 $-\frac{1}{m}$

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 $\frac{-1}{3}$

as the product of two slopes is -1

Hence in the given options only c options has the line whose slope is  $\frac{-1}{3}$

Answer 2

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