The graph of the function y = kx + b intersects the coordinate axes at points C (0; 4) and D (-8; 0).

The graph of the function y = kx + b intersects the coordinate axes at points C (0; 4) and D (-8; 0). Find the values of k and b

First of all, note that in order to determine the values of k and b, you need to substitute the values of x and y corresponding to points C and D. As a result, we get two equations from which we can determine the values of k and b.

1) Point C (0; 4): x = 0; y = 4. Then we get:

4 = k * 0 + b;

b = 4.

So b = 4.

2) Point D (- 8; 0): x = – 8; y = 0. Then we get:

– 8 * k + b = 0;

– 8 * k + 4 = 0;

8 * k = 4 | : eight;

k = 4: 8;

k = 1/2.

Thus, k = 1/2.

Then the equation of the function is: y = 1/2 * x + 4.