(a) Determine the vector and parametric equations of the line containing points E (-1, 5) and F (6, 11). What are the co-ordinates of the point where this line crosses the x-axis? Can the equation [x, y] = [-15, 7] + t [14/3, 4] where t belongs to the real numbers contain the points E and F from (a)? Don’t just say yes or no but be convincing!

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Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.