Find parametric equations to describe the line which goes through the points (5, -3) AND (7,1).

Explanations of work greatly appreciated! Thank you! :)

The direction vector is (7,1) -(5, -3) = (2,4)

A multiple of this is t(2,4) = (2t, 4t)

stating at (7, 1) the parametic equations are x = 7 + 2t and y = 1 + 4t where t is areal number

t= 0 gives (7,1) and t = -1 corresponds to (5, -3)

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