Define a linear function by the formula, the graph of which passes through the points A (-5.14) and B (2.7).

In general, the linear function is described by the following equation:

y = kx + b.

The linear coefficient k is found by the formula:

k = (y2 – y1) / (x2 – x1), where x1, y1, x2, y2 are the coordinates of points. Then:

k = (7 – 14) / (2 – (-5)) = -7/7 = -1.

Substitute the coordinates of one of the points into the equation and calculate b:

– (- 5) + b = 14;

b = 9.

Answer: the desired equation of the straight line y = -x + 9.