Find the values of b if you know that the graph of the function y = -3x + b passes through the point N (5; 2).

In order to find the values of b, if it is known that the graph of the function given by the equation y = -3x + b passes through the point with coordinates N (5; 2), we will solve the linear equation.

Let’s plug in the functions x = 5 and y = 2 and solve the resulting linear equation in one variable.

So, we substitute and get:

2 = -3 * 5 + b;

2 = -15 + b;

Let us group the terms with and without variables in different parts of the equation and present similar terms.

b = 2 + 15;

b = 17.

Answer: b = 17 if the graph of the function passes through point N