Question

Line through (x1, y1) and (x2, y2): x = x1 + t(x2 − x1), y = y1 + t(y2 − y1) use your result to find a set of parametric equations for the line or conic. (enter your answers as a comma-separated list.) line: passes through (0, 0) and (4, -4)

Answer 1

You are given (x1, y1) = (0, 0) and (x2, y2) = (4, -4). You can use these numbers in the given parametric equations:

... x = 0 + t(4 - 0)

... y = 0 + t(-4 -0)

When simplifiied, these parametric equations become

... x = 4t

... y = -4t