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 )
Rearrange 5x - y = - 4 into this form
Subtract 5x from both sides
- y = - 5x - 4 ( multiply through by - 1 )
y = 5x + 4 ← in slope- intercept form
with slope m = 5
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 fond c substitute (- 3, 2) into the partial equation
2 = + c ⇒ c = 2 - =
y = - x + ← in slope- intercept form