Answer:
y = x + 17
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 - 18 ← is in slope- intercept form
with slope m = - 1
given a line with slope m then the slope of a line perpendicular to it is
= -
= -
= 1 , then
y = x + c ← is the partial equation of the perpendicular line
to find c substitute (- 6, 11 ) into the partial equation
11 = - 6 + c ⇒ c = 11 + 6 = 17
y = x + 17 ← equation of perpendicular line