Question 593876
Consider the point and line below.
Point (-9, 2)
Line y=-5 
a) write the equation for the line through the given point and parallel to the given line.
The equation y=-5 is a horizontal line. A line parallel to this line must also be horizontal but at a different y-value since it goes through point (-9,2). Equation of line parallel to given line: y=2 

b) write the equation for the line through the given point and perpendicular to the given line. 
The perpendicular line going through (-9,2) intersects the given horizontal line at x=-9 which becomes the equation for the perpendicular line.