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About Azeem Hussain
Expertise
I can answer virtually any kind of question dealing with of Math 536 and below, my forte being in parabolic functions and analytical geometry. I'm currently learning Linear Algebra, and cannot answer questions that deal with subject matter more advanced than that.

Experience
I am neither a professor nor a teacher of this subject. I am merely a student who is gifted at mathematics and enjoys being of service to his community. I frequently tutor people in math and the results are usually great.

Publications
Reflections, Riverside School Board (2005, 2006)

Education/Credentials
Diploma of Secondary Studies from Chambly Academy High School, and IBO-MYP certificate as well. My lowest mark on a high school math final was 97%, peaking at 99% in 2006 and 2007 (second-highest Math 436 mark in the province). Being a Quebecer, I am fluent in English and French and can respond to questions easily in both languages.

Awards and Honors
Pascal Math Competition, School Champion(2007)

 
   

You are here:  Experts > Science > Math for Kids > Geometry > Analytic Geometry - Perpendicular Line

Geometry - Analytic Geometry - Perpendicular Line


Expert: Azeem Hussain - 7/1/2009

Question
What is the equation for a line that passes thru (2,5) and is perpendicular to line y=0.5x-3?  The answer choices are y=-2x+9, y=2x-9, and y=-0.2x+2.  I have graphed all of these and none of them appear to be perpendicular to me.  What am I doing wrong? How can I solve this?  Thank you for your help.

Answer
Hey Marie!

Begin by finding the slope of the line.  Perpendicular lines have slopes that are negative reciprocals of each other.  Flip the fraction and throw a negative sign in front.
0.5=1/2 --> 2/1 --> -2/1 -->-2

Or formally,
-(0.5)^-1=-2

At this point, you just need to look at the slopes to in the choices to know which is the correct one.  For verification, plug (2,5) into the equation y=-2x+9 to see if it works.

Thanks for asking,
Azeem

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