Algebra I Notes Sec. 5.4 : The Standard Form of a Linear Equation

1. Algebra I Notes Sec. 5.4 : The Standard Form of a Linear Equation Most of the linear equations written in this chapter have been in slope-intercept form. S lope-Intercept Form:y = mx + b Another form that is commonly used in algebra is called _________________ of the equation of a line Standard Form : When an equation is written in this form you must satisfy two key rules: ______________________________________________________ 2) ______________________________________________________ Standard Form Ax + By = C A must be a positive number. A, B & C must be integers. (No Fractions.)

2. Examples: 1. Write two equations in standard form that are equivalent to 3x – y = -5 Write an equation in standard form of the line that satisfies the following information. 2. passes through (-5, 1) and m = 6x – 2y = -10 12x – 4y = - 20

3. 3. passes through (3, 0) and (-5, 3) 4.

4. Recall that equations of horizontal lines have the form y = a and vertical lines have the form x = b. Write equations of the horizontal and vertical lines that pass through the given point. (-2, 6) Horizontal: ___________ Vertical: __________ y = 6 x = -2 Vertical Line Horizontal