In this episode of Engineer In Training Exam TV, Justin walks you through a Fundamentals of Engineering Exam Review of Lines.
He will start with defining the rules of linear equations, then move on to discussing the different forms of a linear equation, and finish off with a quick example of a potential line problem on the exam.
This Fundamentals of Engineering Exam Review of Lines is part of the global subject Mathematics.
Having served over 1.5 million lessons in 150 different countries, it’s safe to say we have been in the trenches.
In the trenches working with those who are taking the exam for the first time, either fresh out of college or having taken a few years off from the books.
In the trenches working with those who have already attempted the exam, maybe multiple times, and can’t seem to crack the code.
In the trenches working with those who have been away from the books for ages, from standardized testing for the same amount of time, and can’t fathom taking on this beast of an exam.
And every iteration in between.
Every student’s situation is unique, but the building blocks of what success looks like are always the same.
Click below to register for the FREE myFE Exam Academy Course.
Once you are registered, you’ll get instant access to a proven roadmap, strategies and tactics…
Straight to your email box.
REGISTER NOW!
Hey what’s going on everyone, it’s Justin Dickmeyer from EngineerInTrainingExam.com.
In today’s video we are going to present a Fundamentals of Engineering Exam Review of Lines.
We’ll start off this tutorial discussing the theory and then get in to working a problem.
So let’s start off our Fundamentals of Engineering Exam Review of Lines by defining exactly what a line is.
we call linear equation in two
variables is the equation y is equal to
5x plus 1 the two variables are
typically x and y but don’t necessarily
always have to be x and y in linear
equations linear equation or lines also
adhere to four rules number one the
variables x and y are raised to the
first only to the first power so the
variables x and y are to the first power
the second rule is that the variables
may be multiplied only by real numbers
so the variables
can be multiplied by only real numbers
the third rule is that any real number
term may be added or subtracted so any
real number term can be added or
subtracted and finally number four
nothing else is permitted nothing else
is permitted so that is to say that if
you’re given an equation and you see
that that equation has x squared if it
has y squared if has 1 over X east to
the X whatever anything not to the first
power then it is not a linear equation
so if you see look back at our example
here our general example this is an
equation where x and y is both to the
first power the variables are multiplied
by real numbers and there’s a real
number that is added in this case so
this equation adheres to all four rules
and we can call it a linear equation or
a line so what do we need to define a
line well we need two distinct pieces of
information concerning that line to
define it so in other words number one
if we are given two points for given two
points X x1 and y1 and x2 and y2 then we
can define the equation to that line or
if we are given one point
say x1 and y1 and the slope of the line
then we can also define the equation of
that given line a line can be
Illustrated using three different forms
the first one is the standard form or
also known as the point intercept form
and this is the one that we are most
used to seeing probably and that is y is
equal to MX plus B so in this case we’re
given the slope and we’re probably given
the intercept and we can just go ahead
and define that line simple the second
is the point-slope form and so say we’re
given the points x1 and y1 and we’re
also given the slope then we can go
ahead and write it in the point-slope
form which is y minus y1 is equal to M X
minus x1 so as you can see we have if
we’re given a point and the slope we
have the point here we just plug in our
information and we have the slope right
there the third form is called the
two-point form so say we’re given x1 y1
and we’re given x2 y2 if we’re given two
points then we can go ahead and plug
these points into the equation y minus
y1 is equal to y2 minus y1 divided by x2
minus x1 multiplied by X minus x1 so
these are the three forms of a straight
line or linear equation so let’s look at
a quick example here let’s say that we
have a problem and we’re given two pole
let’s say that those points are negative
2 1 & 1 2 let’s say that we want to find
or define this line given the two-point
form we know that the two-point form
equation is y minus y1 is equal to y2
minus y1 divided by x2 minus x1
multiplied by X minus x1 so all we need
to do is since we have both x1 and y1
and x2 and y2 all we need to do is plug
that information simply into the
equation we get y -1 is equal to Y 2 is
2 y 1 is 1 divided by X 2 1 minus
negative 2 multiplied by X minus x1
which isn’t so what we get is as we play
this out we get Y minus 1 is equal to 1
over 1 plus 2 which is 1 3 multiplied by
X plus 2 multiplying that through we got
1/3 X plus 2/3 and +1 adding one to each
side to get Y by itself
now just combine all the terms and we
got Y is equal to 1/3 X plus 5/3
so we use the point or the two-point
form here to define the equation and we
actually put that equation into the
standard form
so that’s it a pretty straightforward
tutorial just wanted to review real
quick
lines so if you guys have any more
questions or want to see any future
tutorials go ahead and visit engineer
and training exam com
check out the videos that I got up there
or contact me via the contact ask any
questions or get any free study
resources study guidance or whatnot so
look forward to talking to you guys soon
you guys take care alright bye
—
Follow Prepineer Online Here:
Instagram: https://instagram.com/prepineer
Prepineer Facebook: https://facebook.com/prepineer
EngineerInTrainingExam Facebook: https://www.facebook.com/EngineerInTrainingExam
Snapchat: https://www.snapchat.com/add/prepineer
Website: https://www.Prepineer.com
Website: https://www.EngineerInTrainingExam.com
Twitter: https://twitter.com/prepineer
Passing the FE Exam – Engineering Advice (private Facebook group): https://www.facebook.com/groups/372061059925853/
Leave a Reply