Question #e4d90

1 Answer
Feb 20, 2017

Answer:

It's all a matter of understanding the relation between the slopes of these lines. Answers below...

Explanation:

Two lines, written in slope-intercept form are parallel if they have the same slope.

So, a line parallel to #y=1/6x+1# would be #y=1/6x + b# where #b# can be any value (the #y#-intercept of the line) other than 1.

A line is perpendicular to another if its slope is the negative reciprocal of the other line.

In this case, the perpendicular line would have a slope of -6, since the given line has slope #1/6#.

It's equation could be #y=-6x +b#, where again, #b# could be any value you wish (including 1 this time).