Question

Select the equations that are parallel and perpendicular to y = -3x - 1 and that pass through the point (3, 1).

A) parallel: y = -3x + 6
perpendicular: y =1/3x+2 2/3
B)parallel: y = -3x + 10
perpendicular: y =1/3x
C) parallel: y =-1/3x perpendicular: y = -3x
D)parallel: y =1/3x+1 perpendicular: y = 3x - 1

Answer 1

parallel lines have the same slope you line has a slope of m = -3



the perpendicular line is the negative reciprocal... so if m = -3 then the perpendicular line has a slope of m = 1/3

the point slope form of a line is y = mx + b

you should look for a parallel line in the form y = -3x + b

and a perpendicular line in the form y = 1/3x + c

Answer 2

to find the values of b and c substitute x = 3 and y = 1 into both equations