Answer:
y = - [tex]\frac{1}{6}[/tex] x + 3
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 = 6x - 1 ← is in slope- intercept form
with slope m = 6
Given the slope m of a line then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{6}[/tex] , thus
y = - [tex]\frac{1}{6}[/tex] x + c ← is the partial equation
To find c substitute (- 6, 4) into the partial equation
4 = 1 + c ⇒ c = 4 - 1 = 3
y = - [tex]\frac{1}{6}[/tex] x + 3 ← equation of perpendicular line
