Find K if it is known that the graph of the function y = Kx-6 Passes through the point P (-2; 8).

If the graph of this function y = Kx – 6 passes through the point P (-2; 8), then we substitute the number 8 instead of the variable y in the function formula y = Kx – 6, and instead of the variable x, the number (-2) and solve the equation with respect to the variable K. Therefore, we get:
8 = K * (-2) – 6;
K * (-2) = 8 + 6;
K * (-2) = 14;
K = 14: (-2);
K = -7.
Then the graph of the function y = -7x-6 passes through the point P (-2; 8).
Answer: K = -7.