question below (algebra 1)

Question

Consider the line y=6x-1

Find the equation of the line that is perpendicular to this line and passes through the point (2,-2).

Find the equation of the line that is parallel to this line and passes through the point (2,-2).

Answer 1

parallel line is y=6x -14

perpendicular line is y=-x/6 - 5/3

check the answers, plug in the point (2,-2)

-2 =6(2)-14=12-14

-2 =-2/6 -5/3 = -1/3-5/3 = -6/3