# What is the equation of the line perpendicular to # y=-(2x)/5-12 # at #x=-1 #?

##### 1 Answer

Two perpendicular lines have inverse slopes, both additive and multiplicative.

#### Explanation:

First of all, the equation of the perpendicular line will have this form:

where **slope** and **intercept** (this is the value of the

As we have said,

Thus,

Now, let us find the intercept. We know that both lines intercept at

So point

Now, this point must be also in perpendicular line, with slope

So we have now completed our perpendicular line equation:

You can watch the graphics of both lines on this link.