AboutAzeem 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)
Question It has been a LONG time since I did Geometry. Can you help me understand this? Do I draw this or is there a math way to figure this out???
Point A located at (8,4) and point B located at (-2, -2). Please find the equation of a line that is the PERPENDICULAR BISECTOR of the line AB.
Answer Hi Susan!
There is a mathematical way of figuring this out. Begin by finding the slope of AB. This is done by dividing the change in y by the change in x ("rise over run"). Let the slope of AB equal m_AB.
m_AB=(-2-4)/(-2-8)
m_AB=-6/-10
m_AB=3/5
Perpendicular lines have slopes that are negative reciprocals of each other. This means you flip the fraction and throw a negative sign in front of it. Let's call the perpendicular bisector NM, so you're solving for m_NM.
m_NM=-(m_AB)^-1
m_NM=-(3/5)^-1
m_NM=-5/3
You have the slope, now you need to find the intercept b for the equation y=mx+b. The questions asks for a perpendicular BISECTOR, which means you need the midpoint of AB, point M. this is done by taking the average x-value and the average y-value.
M:((8-2)/2 , (4-2)/2)
M:(6/2 , 2/2)
M:(3,1)
Plug these coordinates and the slope of MN into the slope-intercept formula to solve for b.
y=mx+b
(1)=(-5/3)(3)+b
1=-5+b
b=6
ANSWER: The equation of the perpendicular bisector is y=-5x/3+6
