Answer:
y = - 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 = x + 2 ← is in slope- intercept form
with slope m = 1
Given a line with slope m then the slope of a perpendicular line is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{1}[/tex] = - 1, hence
y = - x + c ← is the partial equation of the perpendicular line
To find c substitute (4, - 1) into the partial equation
- 1 = - 4 + c ⇒ c = - 1 + 4 = 3
y = - x + 3 ← equation of perpendicular line
