Find the value of k if it is known that the point (1; 1) belongs to the graph of the function

Find the value of k if it is known that the point (1; 1) belongs to the graph of the function: 1) y = kx +2; 2) y = kx-2; 3) y = -kx + 4

In order to find the value of the variable k, if it is known that the point with coordinates (1; 1) belongs to the graph of the functions specified in the condition, we need to substitute the values (1; 1) in the equations instead of x and y and solve the equation for k.
1) y = kx + 2; we substitute x = 1 and y = 1 into the equation:
1 = k * 1 + 2;
1 = k + 2;
k = 1 – 2;
k = -1.
2) y = kx – 2; we proceed by analogy with the first equation.
1 = k * 1 – 2;
1 = k – 2;
k = 1 + 2;
k = 3.
3) y = – kx + 4;
1 = – k * 1 + 4;
1 = – k + 4;
k = 4 – 1;
k = 3.
Answer: 1) k = -1; 2) k = 3; 3) k = 3.