What is the equation of the line that passes through the point #(1,5)# and is perpendicular to the graph of #x+2y=4#?
1 Answer
Explanation:
First, we must solve
lets subtract
now we divide divide all terms by 2 to get
our equation should now be
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
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, our equation should be
Next, we distribute
By this point, our equation is
our LAST step is to add
We get