What is the equation of a line that contains the point (2, 1) and is perpendicular to the line y= 3x - 4

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 3x - 4 ← is in slope- intercept form

with slope m = 3

Given a line with slope m then the slope of a line perpendicular to it is

= - = - , hence

y = - x + c ← is the partial equation of the line

To find c substitute (2, 1 ) into the partial equation

1 = - + c ⇒ c =

y = - x + ← equation of line

-6 is the correct option from the above given options

-9

step-by-step explanation: