Question

Which line is perpendicular to a line that has a slope of -5/6

Answer 1

A line of slope 6/5
When two lines are parallel, their slopes are equal
When two lines are perpendicular, the sum of their slopes is -1

Answer 2

Explanation:

If two lines given with slope
`m_(1)` and
`m_(2)` then the lines will be perpendicular to each other if

`m_(1)` ×
`m_(2)` = -1

Now we come to question, one line has been given with

`m_(1)` =
`((-5)/(6))`

so slope of another line will be

`((-5)/(6))` ×
`m_(1)` = -1

`m_(1)` =
`((-1))/(((-5)/(6) ))`

=
`((6)/(5))`

so perpendicular line to the line having slope =
`((-5)/(6))` will be with the slope of
`((6)/(5))` irrespective of y-intercept made by the lines.