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y x=2 Forms of Linear Equations x st All variables are to the 1 power m= y2 − y1 x2 − x1 Slope y 1) Ax + By = C -or2) Ax + By + C = 0 Standard Form A m= − B y=3 x To find the x-intercept (a, 0), let y = 0 and solve for x = a To find the y-intercept (0, b), let x = 0 and solve for y = b x=a Vertical Line (not a function) Undefined slope (vertical) x-intercept (a,0) ex) x = 2 (top right), x-intercept ( 2,0) No y-intercept when a ≠ 0 When a = 0, the line x = 0 is the y-axis y =b f ( x) = b function notation Horizontal Line Slope is 0 y-intercept (0, b) ex) y = 3 (middle right) , y-intercept (0,3) No x-intercept when b ≠ 0 When b = 0, the line y = 0 is the x-axis y = mx + b f ( x) = mx + b function notation Slope Intercept Form Slope is m y-intercept ( 0, b) ex) y = x/2 + 2 (bottom right) m = ½, y-intercept (0, 2) y − y1 = m( x − x1 ) Point-Slope Form Slope is m ( Line passes through x1 , y1 ) Parallel Lines have the same slope m1 = m2 for parallel lines y = m1 x + b1 and y = m2 x + b2 ex) y = −3 x + 2 and y = −3 x − 4 Perpendicular Lines have slopes that are negative reciprocals 1 1 m1 = − and m2 = − for perpendicular lines y = m1 x + b1 and y = m2 x + b2 m2 m1 ex) y = −3 x + 2 and y = 13 x − 4 Page 1 of 1 line_equation_summary.DOC Ron Mower 9/4/02 6:20 AM y = ½x + 2