The straight line given by the equation 4x + by-6 = 0 passes through point A (3; 2) Find the number b.

In order to find the value of the variable b, knowing that the point A (3; 2) belongs to the straight line given by the equation 4x + by – 6 = 0, you need to substitute the number 3 for the variable x, and substitute the number 2 for the variable y and solve the equation for variable b.
Therefore, we get:
4 * 3 + b * 2 – 6 = 0;
12 – 6 + b * 2 = 0;
6 + b * 2 = 0 (in order to find the unknown term, you need to subtract the known term from the sum);
b * 2 = 0 – 6;
b * 2 = -6 (in order to find an unknown factor, you need to divide the product by a known factor);
b = -6: 2;
b = -3.
Answer: -3.