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36 Standard Form.notebook November 17, 2016 36 Standard Form of the Equation of a Line Standard form of the equation of a line is where A and B are not both zero and A, B, and C are real numbers. Standard form of a linear equation can be used to find the x and y intercepts of a line. You can also solve for y to get it into slope intercept form if you need the slope. Graphing a standard form equation: 3x + 2y =12 1. Find the xintercept: put 0 in for y and find x graph (x, 0) 2. Find the yintercept: put 0 in for x and find y graph (0, y) 3. Connect the intercepts y 8 7 6 5 4 3 2 1 x 8 7 6 5 4 3 2 110 1 2 3 4 5 6 7 8 2 3 4 5 6 7 8 Example: Graph by finding the x and yintercepts of each line 36 Standard Form.notebook November 17, 2016 Find the intercepts for each line and graph it. 2x 3y = 15 2x + 6y = 18 x + 4y = 8 5x y = 5 Standard form of the equation of a line can be solved for y to get the equation into slopeintercept form. 7x 2y = 12 Ax + By = C 36 Standard Form.notebook November 17, 2016 You can solve an equation for y and simplify to find slope and y intercept or you can use the shortcut: slope: _______ yintercept: _______