This form is sometimes called the standard form of a linear equation.
Note that most linear equations will not start off in this form.
This is done simply because it is often easy to lose track of the minus sign on the coefficient and so if we make sure it is positive we won’t need to worry about it.
So, for our case this will mean adding 4\(x\) to both sides and subtracting 15 from both sides.
Which side the \(x\)’s go on is up to you and will probably vary with the problem.
As a rule of thumb, we will usually put the variables on the side that will give a positive coefficient.
We’ll start off the solving portion of this chapter by solving linear equations.
A linear equation is any equation that can be written in the form \[ax b = 0\] where \(a\) and \(b\) are real numbers and \(x\) is a variable.
The y intercept in this problem is -4, so my first dot on the graph went at -4. So you guys these are like super fast problems if you can get the hang of it. First thing, dot at the y intercept boom, from there count the slope boom, third thing draw the line, forth thing, put the arrows on it.
Those are really great problems you guys I think you might even have fun doing your Math homework.