The standard form for linear equations in two variables is Ax+By=C. For example, 2x+3y=5 is a linear equation in standard form. When an equation is given in this form, it's pretty easy to find both intercepts (x and y). This form is also very useful when solving systems of two linear equations.
Writing linear equations in standard form becomes more useful when dealing with more than two variables, especially when solving systems of linear equations.
You can arrive at this 'formula' by converting standard form into vertex form. But the x-coordinate of the vertex is the one I think you should remember, as you can then use that to plug in and get the y-coordinate.
Standard changes in free energy of formation of substances are useful because they can be used to calculate the standard change in free energy for a chemical reaction.
A pure element in its standard state has a standard enthalpy of formation of zero. For any chemical reaction, the standard enthalpy change is the sum of the standard enthalpies of formation of the products minus the sum of the standard enthalpies of formation of the reactants.
If you are asked to write the equation in standard form, then you need to get rid of the fractions. Standard form is: Ax + By = C where A, B and C are integers (so no fractions).
This form gives us the coordinates of the center of parabola's arc with the opposite ± of h, same sign k being (h, k). Parabolas are a specific shape, just like a circle or a square they are all similar.
The formula we use for standard deviation depends on whether the data is being considered a population of its own, or the data is a sample representing a larger population.
