Answer:
[tex]y=\frac{-1}{3}x+6[/tex]
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 [tex]-\frac{1}{m}\\[/tex]
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 [tex]\frac{-1}{3}[/tex]
as the product of two slopes is -1
Hence in the given options only c options has the line whose slope is [tex]\frac{-1}{3}[/tex]
