# How do you write the equation in point slope form given (-4,-3), perpendicular to 4x + y=7 ?

##### 1 Answer

#### Explanation:

First, we must solve for

For this, we just need to subtract

Any question that asks you for a line (or equation) **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

From here, you have enough information to solve the problem using point slope form. Which is:

Now we plug in what we are given:

Our equation should now be

This is the complete equation in point slope form (as asked for in the question). If you, or others reading this, want to simplify further to slope intercept form which is **see notes below.**

To continue, we distribute

our equation is now

our final step is to subtract 3 from both sides, to get

this is our final answer.

Hope this helps!