Answer:
y = -2x + 7 (parallel)
y = 1/2x - 1/2 (perpendicular)
Step-by-step explanation:
The slope of the line l is (3 - (-3) / (-1-2)
= 6/-3
= -2
The slope of a line parallel to this will have a slope equal to this.
y - y1 = m(x - x1) ( where m = slope and (x1, y1) is a point on the line.)
Our line has m = -2 and (x1, y1) = (3, 1)
y - 1 = -2(x - 3)
y = -2x + 7 is the required equation parallel to the line l.
The line perpendicular to line l will have a slope of -1/-2 = 1/2 and it passes through the point (3,1):-
y - 1 = 1/2(x - 3)
y - 1 = 1/2x - 3/2
y = 1/2x - 1/2 is the required equation
