# How do you write an equation for the line in slope intercept form that is perpendicular to the given line and that passes through the given point 3x – 12y = –9; (1, –10)?

##### 1 Answer

Jun 12, 2016

#### Explanation:

The slope of the given line is (using its standard eqn.

Hence, the slope of reqd. perpendicular line

The rqd. line is thro.

Therefore, using slope-point form of reqd. line, is,

**Otherwise**

A sort-cut method to find the eqn. of a line perpendicular to a given line

In our case, it is given by