Question

Question #e4d90

Answer 1

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).