I'm workig through this book I have and an entire chapter is dedicated to y=mx+b equations. I've learnt a few ways of how to work out the graph. Also the book is teaching me a few different ways in which the equation can be structured. It's getting a bit monotonous and I'm bored of this stuff now. The problem is how important is this stuff? I mean I can graph any of the equations from the book but now it's showing me how to find the x and y interceps when they equation is in the form
where the x and y intercep is b.
I really can't be bothered to keep going through all these varies methods, when I come to higher mathematics, will I come across this equation in many many different forms and is it worth learning them all?
I understand... it's just getting a bit too much, every topic I'm learning I have to learn 6 different ways to work out the equations depending on their formats. I'm never going to remember them all a year down the line when I've moved on to more advanced topics such as calculus.
Hello, uperkurk!
I understand your complaint.
I went through the same resentment many years ago.
I was taught that there were four formulas to learn,
. . depending on what we are given.
[1] Slope-Intercept Formula: .
. . .in case you are given the slope and the y-intercept
[2] Two-Point Formula: .
. . .in case you are given two points: and
[3] Point-Slope Formula: .
. . .in case you are given the slope and a point
[4] Two-Intercept Formula: .
. . .in case you are given the x-intercept and the y-intercept
When I began teaching, I found this list highly annoying.
Then I "discovered" that we can get away with one formula.
First, we must know the Slope Formula.
Given two points: .
. . the slope of the line through and is: .
Then we can always apply [3] the Point-Slope Formula: .
We don't need [1].
If we are given the slope and the y-intercept ,
. . recall that the y-intercept is a point
Substitute them into [3].
We don't need [2].
If we are given two points and
. . use the Slope Formula to find
. . Use either of the two points.
Substiture them into [3].
We don't need [4].
If we are given the two intercepts and
. . use the Slope Formula to find
. . Use either of the two points.
Subsitute them into [3].
See? .All we need is the Point-Slope Formula.