U3D1 Equations of Lines in 2-Dimensions

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Equations of Lines in 2-Dimensions Find the scalar, vector, parametric, and symmetric equations of the line that passes through the points A(3, 0) and B(9, -4). Scalar/Cartesian Vector
Parametric Symmetric Complete the following table for each line given: Equation ax + by + c = 0 Equation y = mx + b Slope Direction Vector Perpendicular Slope Normal Vector 2x + y - 3 = 0 3x - 2y + 4 = 0 2x + 5y - 10 =0
Find the direction vector for each of the following: a) A line passing through (4, 5) and (-2, 1) b) A vertical line c) A horizontal line d) A line parallel to y = 4x - 2 e) A line perpendicular to y = 4x - 2 f) A line with a normal vector m (2,7) uur State three points on each of the following lines: a) 2x + 3y = 12 b) r (2,5) t( 3 ± ² ,1) r c) d) x 5 3t, y 10 2t ± ² x 3 y 5 7 3 ² ±
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