Consider linear functions \(f(x) = ax - 2\)
and \(g\colon y = -4x + 3\). Find the value of
the real parameter \(a\) which
ensure that the graphs of \(f\)
and \(g\)
are two parallel lines.
Three of the points \(A = [2;-4]\),
\(B = [0;-3]\),
\(C = [-2;-1]\),
\(D = [-4;1]\) lie on
the graph of the same linear function. Identify these points. (Colinear points.)
Consider the function \(f(x)= -\frac{4}
{x}\)
and the points \(A = [1;-4]\),
\(B = [-2;2]\),
\(C = [4;1]\),
\(D = [2;2]\).
How many of these points are on the graph of the function
\(f\)?