Find the point at which the line intersects the given plane. x = 4 - t, y = 2 + t, z = 3t; x - y + 5z = 15 (x, y, z) =
Added by Chad K.
Step 1
Step 1: Plug in the parametric form of the line into the equation of the plane: x = 4 - t y = 2 + t z = 3t Substitute these into the equation x - y + 5z = 15: (4 - t) - (2 + t) + 5(3t) = 15 4 - t - 2 - t + 15t = 15 2 + 13t = 15 Show more…
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