The graph of the function y = kx + b passes through points A (0; -5) and B (3; 5). Find the values of k and b.

If the straight line passes through the points, we substitute their coordinates into the equation of the straight line y = kx + b and obtain a system of equations from which we can find k, b and write down the equation of the straight line.

-5 = k * 0 + b,

5 = k * 3 + b.

From the first equation we get b = -5, we substitute the obtained value into the second equation instead of b:

5 = 3 * k – 5,

3 * k = 10,

k = 10/3 = 3 1/3.

The straight line equation will look like: y = 3 1 / 3x – 5.

Answer: in the equation, the direct value is k = 3 1/3, b = -5.