# What is the equation of a line that is perpendicular to y=2x+4 and passes through the point (4,6)?

##### 1 Answer

Dec 14, 2016

#### Explanation:

To start, any question that asks you for a line **perpendicular** to another, you should know that the slope of the new line will be **the negative reciprocal of the slope given**

In your case the opposite of 2x is

from here, you have enough information to solve the problem using point slope form. which is

now we plug in what we are given:

Now, we should have

Next, we distribute the

our equation at this point is now

Finally we just have to add the -6 from both sides to get

Our FINAL equation is

Hope this helps!!