Answer:
y = 3 and x = - 6
Explanation:
y + 4 = 0 ( subtract 4 from both sides )
y = - 4
this is the equation of a horizontal line, parallel to the x- axis.
a parallel line will also be horizontal with equation
y = c ( c is the value of the y- coordinates the line passes through )
the line passes through (- 6, 3 ) with y- coordinate 3 , then
y = 3 ← equation of parallel line
a line perpendicular to the given line will be a vertical line with equation
x = c ( c is the value of the x- coordinates the line passes through )
the line passes through (- 6, 3 ) with x- coordinate - 6 , then
x = - 6 ← equation of perpendicular line