# How do you write the standard form of a line given #(-6,7)# and perpendicular to #3x+4y-12=0#?

##### 1 Answer

#### Explanation:

Since the equation must be expressed in standard form, that is,

But first let's rewrite the given equation in

To find the perpendicular line, switch the coefficients of

If we let

So we found our constant. We can now substitute this value for

**And this is the equation of the perpendicular line**