Show that the line r = r0 + tv is consistent with the Cartesian form y = mx + c. Confirm that the line passing through the points rA and rB can be written in the form r = trA + (1 - t)rB
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Originally Posted by njr008 Show that the line r = r0 + tv is consistent with the Cartesian form y = mx + c. Confirm that the line passing through the points rA and rB can be written in the form r = trA + (1 - t)rB Let v be the vector ai + bj. r = r0 + tv has parametric equations: x = x0 + at => (x - x0)/a = t .... (1) y = y0 + bt => (y - y0)/b = t .... (2) Equate (1) and (2): (x - x0)/a = (y - y0)/b. You should try the second one again now. Re-arrange into y = mx + c form.
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