At what value of b does the graph of the function y = 7x + b pass through the point: a) K (-1; 1) b) L (9; 0)

a) Substituting the values x = -1 and y = 1 into the equation of the graph of this function y = 7x + b, we get the following relationship:

1 = 7 * (-1) + b.

Solving the resulting equation for the unknown b, we find the value of the parameter b, at which the graph of the function y = 7x + b passes through the point K (-1; 1):

1 = -7 + b;

b = 1 + 7 = 8.

Answer: for b = 8.

b) Substituting the values x = 9 and y = 0 into the equation of the graph of this function y = 7x + b, we obtain the following relationship:

0 = 7 * 9 + b.

We solve the resulting equation:

0 = 63 + b;

b = -63.

Answer: when b = -63.