I am given the following Linear System of Equations:
$$x - y - z = 1$$ $$2x - z = 3$$ $$x - 7y - 4z = -2$$
I am told to show that $(1, 1, -1)$ and $(2, 0, 1)$ are valid solutions to this system which is easily done.
However, I am then asked to find the line that passes through those points and to give the equation of that line using Parametric Equations.
So I understand Parametric Equations, and that the (infinite) solutions of this system is a line where the the planes intersect, and that I'm being asked to convert the Linear System into related Parametric Equations that defines this solution-line. I cannot however, seem to figure out exactly what that needs to look like or how to get there.