Answer:
y = 5x + 26
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
= -
= -
= 5 , thus
y = 5x + c ← is the partial equation
To find c substitute (- 5, 1) into the partial equation
1 = - 25 + c ⇒ c = 1 + 25 = 26
y = 5x + 26 ← equation of perpendicular line