Drawing up an equation of a straight line passing through the given point C (-6; 0); D (0; 4).

We will use the fact that the equation of a straight line passing through two non-coinciding points A with coordinates (x1; y1) and B with coordinates (x2; y2) can be written in the following form:

(x – x1) / (x2 – x1) = (y – y1) / (y2 – y1).

Using this equation, we write the equation of the straight line passing through the points C (-6; 0) and D (0; 4):

(x – (-6)) / (0 – (-6)) = (y – 0) / (4 – 0).

Simplifying this equation, we get:

(x + 6) / (0 + 6) = y / 4;

(x + 6) / 6 = y / 4;

y = 4 * (x + 6) / 6;

y = 2 * (x + 6) / 3;

y = 2x / 3 + 4.

Answer: the desired straight line y = 2x / 3 + 4.