Find the value of k if it is known that the graph of the function y = kx + 2 passes through the point C (3; 7).

Because point C with coordinates (3; 7) belong to the graph of the function y = kx + 2, then when the coordinates are substituted into the equation of the function, the correct equality should be obtained:

7 = 3k + 2.

Let’s solve the equation:

3k + 2 = 7;

3k = 7 – 2;

3k = 5;

k = 5/3.

Substitute the resulting value into the equation of the straight line:

y = 5/3 x + 2.

Answer: coefficient k = 5/3; y = 5/3 x + 2.