5.4 point slope · 2012-11-20 · given an equation in slope-intercept form or point-slope form,...

5.4 point slope

5.5 standard form

So the value of standard form is that it can be applied to all lines, including vertical lines, which can't be written in slope-intercept form. And that, in turn, is because it is "unbiased": it treats x and y in the same way, rather than putting y in a special position.

A. Standard Form 1.Ax + By = C 2.A, B, C are integers (positive or negative whole numbers) 3.No fractions nor decimals in standard form. 4.Traditionally the "Ax" term is positive.

B. How to Write the Equation into Standard Form When

Given an Equation 1.If there are fractions:

1.Multiply each term in the equation by the LCD. 2.Add or subtract to get “x” and “y” on the same side and the number term on the opposite side.

2.If there are decimals: 1.Multiply each term in the equation by 10, 100, 1000, etc. 2.Add or subtract to get “x” and “y” on the same side and the number term on the opposite side.

3.If there are no fractions nor decimals: 1.Add or subtract to get “x” and “y” on the same side and the number term on the opposite side.