Write down the equation of the straight line passing through the points A (0; 5) T (-3; 0).

From the very beginning, we write down the general form of the equation of the straight line:

y = k * x + l.

Based on the condition, the straight line passes through the points A (0; 5) and T (- 3; 0). Substitute the coordinates of each point into the marked equation and get:

1) A (0; 5) – hence, x = 0, y = 5. Then we get:

5 = k * 0 + l.

Hence, it is possible to determine the value of l:

l = 5.

2) T (- 3; 0) – hence, x = – 3, y = 0.

We get:

0 = – 3 * k + l.

Substitute l = 5 into this equation:

– 3 * k + 5 = 0;

k = 5/3.

Then the equation of the straight line will take the form:

y = 5/3 * x + 5.