Write the equation of the line perpendicular to y = 5/3x + 1 that passes through the point (- 8, 2)

y = - x -

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 = x + 1 ← is in slope- intercept form

with slope m =

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

= - = - = - , thus

y = - x + c ← is the partial equation

To find c substitute (- 8, 2) into the partial equation

2 = + c ⇒ c = 2 - = -

y = - x - ← equation of perpendicular line