Equate the straight line A B if A (0; 4); B (-2; 0).

In the condition, we are given two points with coordinates A (0; 4); and B (-2; 0) we need to equate the straight line passing through these points.

To do this, we will compose and solve a system of equations.

The linear equation is y = kx + b.

We substitute the coordinates of the points into this equation instead of x and y and compose a system of equations:

4 = k * 0 + b;

0 = -2 * k + b;

System of equations:

b = 4;

-2k + 4 = 0.

We find the value of k:

-2k = -4;

k = -4: (-2);

k = 2.

System:

b = 4;

k = 2.

Let’s make the equation:

y = 2x + 4.

Answer: y = 2x + 4.