Let's start at the very beginning
A very good place to start
you need to convert each symbol into a word.
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m = - 6, of course. Read it right off the function.
For one thing, it is an acronym for an approach to solving problems stated in words that may be solved using algebra, calculus or some other mathematical technique. Given: Read the problem to glean all of the information that has been provided in its statement. Asked: Read the problem to understand what is being asked. Process: Determine how the given information relates to what is required. Equation: Formulate what is understood about the relationship between what is given and what is required as an equation. Solve: Solve the equation. Answer: State the result of solving the equation in the original terms of the problem.
1) Solve the given equation for "y". The resulting equation will be in slope-intercept form, so you can immediately read off its slope. 2) Any line parallel to that line will have the same slope.
For a straight line (a linear equation), solve the equation for "y". That will give you an equation of the form: y = mx + b In this case, "m" is the slope (and "b" is the y-intercept). For an arbitrary equation, solve it for "y" again. Then you need to take the derivative. There are various rules for taking the derivative; you can see an overview in the Wikipedia article on "Derivative", but to understand the concept better, you should read an introductory calculus book.
Slope Intercept form is meant for a line, so if you know the slope m in the equation y=mx+b then with a given point say (3,4) and say the slope of the line was 2 then the equation would read y=2x+4.