Make the equation of a straight line passing through the given two points: A (0; 3), B (-1; 0)

The general equation of the straight line that passes through two given points M1 (x1; y1), M2 (x2; y2) has the form: (x – x1) / (x2 – x1) = (y – y1) / (y2 – y1) , we substitute in this equation the points that are given to us in the task A (0; 3), B (- 1; 0) and find the equation of the straight line:

(x – 0) / (- 1 – 0) = (y – 3) / (0 – 3);

– x / 1 = – (y – 3) / 3;

3x = y – 3;

y = 3x + 3 – the equation of our linear function that passes through the points A (0; 3), B (- 1; 0)

Answer: y = 3x + 3.