Question

Which of the following lines would be perpendicular to y=3x+1

Answer 1

y =
`(-1)/(3)`x + c.

Explanation:

We are given with the line y = 3x + 1 .

Now , we have to find the lines perpendicular to it .

Thus , we have to consider its slope for calculating the slope of required perpendicular lines.

Now, slope of the given line is
`m_(1)` = 3.

Let the slope of the perpendicular lines be
`m_(2)` .

Since the two lines of slope
`m_(1)` and
`m_(2)` are perpendicular
`m_(1)`
`m_(2)` = -1

Thus ,
`m_(2)` =
`(-1)/(3)`.

So, all lines having the slope
`(-1)/(3)` are perpendicular to the given line , these lines may be represented by

y =
`(-1)/(3)`x + c.