# How do you find a standard form equation for the line with (5,4) perpendicular to the line 3x+2y=7?

##### 1 Answer

#### Explanation:

All lines perpendicular to

If such a perpendicular line goes through

then we can write it equation in slope point form as:

This can be converted into standard form as:

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

**Note 1**

A relation in the form

in this case

If you are not familiar with this rule, you can convert given relation

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

**Note 2**

If a line has a slope of

In this case

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

**Note 3**

A line with slope

has a slope-point form:

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

**Note 4**

"standard form" for a linear equation is

converting

=============================================