Write an equation of the line passing through point A(6,-1) that is perpendicular to line y= -2x + 8. what does Y equal? Y=?

y = x - 4

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 = - 2x + 8 ← is in slope- intercept form

with slope m = - 2

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

= - = - = , then

y = x + c ← is the partial equation

To find c substitute (6, - 1 ) into the partial equation

- 1 = 3 + c ⇒ c = - 1 - 3 = - 4

y = x - 4 ← equation of perpendicular line