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
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!