The slope of the perpendicular line will be 2. Remember, a perpendicular slope is the negative reciprocal.
So, we can make the equation [tex]y=2x+b[/tex]. We need to find b, and put b in.
To find b, put in the numbers of y and x.
[tex]10=2(-1)+b[/tex]
Solve for b:
[tex]10=-2+b\\b=10+2\\b=12[/tex]
Now replace b in the original equation with 12 and that will be the answer:
The answer is [tex]y=2x+12[/tex].
