What formula is the line passing through the points: 1) (0; 1) and (1; -5) 2) (0; 7) and (1; 7) 3) (0; -3) and (1; 0)

1. The straight line passing through points A1 and A2 with coordinates (x1; y1) and (x2; y2) is given by the formula:

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

2. Using this formula, we find the equations of the straight lines:

1) A1 (0; 1) and A2 (1; -5):

(y – 1) / (x – 0) = (-5 – 1) / (1 – 0);
(y – 1) / x = -6/1;
(y – 1) / x = -6;
y – 1 = -6x;
y = -6x + 1.
2) A1 (0; 7) and A2 (1; 7):

(y – 7) / (x – 0) = (7 – 7) / (1 – 0);
(y – 7) / x = 0/1;
(y – 7) / x = 0;
y – 7 = 0;
y = 7.
3) A1 (0; -3) and A2 (1; 0):

(y + 3) / (x – 0) = (0 + 3) / (1 – 0);
(y + 3) / x = 3/1;
(y + 3) / x = 3;
y + 3 = 3x;
y = 3x – 3.