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