# How do you write an equation of a line through (1, -3) and perpendicular to y=1/2x +4?

##### 1 Answer

May 18, 2017

First find the slope

Slopes of perpendicular equations are the opposite reciprocals of the original slope

Original slope =

Perpendicular slope =

```
See how it is the reciprocal of the original slope and the opposite sign of the original slope.
```

Then plug in the points you want this line to pass through, in this case it is

Rewrite equation in

Isolate the

The Perpendicular equation is: