Line 6x + by = 71 passes through point D (23; 5). Find b.

In order to find the value of the parameter b, if it is known that the straight line 6x + by = 71 passes through point D with coordinates (23; 5).

To do this, we substitute the coordinates of this point into the equation of the straight line:

x = 23; y = 5 and solve the resulting linear equation with respect to the variable b.

So, we substitute and get:

6 * 23 + b * 5 = 71;

138 + 5b = 71;

Now we will move on to move 138 to the right side of the equation and do the following:

5b = 71-138;

5b = -67;

b = -67: 5;

b = -13.4.

Answer: for b = -13.4.