Set the formula to a linear function whose graph passes through the points M (2; 1) H (6; -1)

The function is linear, which means that it is given by the equation y = kx + b. To draw up the equation, you need to find the parameters k and b.

Substitute the values of the coordinates of the points:

M (2; 1), that is, x = 2, y = 1:

1 = 2k + b (1)

H (6; -1), that is, x = 6, y = -1:

-1 = 6k + b (2)

Let us solve the system of equations (1) and (2):

1 = 2k + b

-1 = 6k + b

b = 1 – 2k

-1 = 6k + 1 – 2k

b = 1 – 2k

-2 = 4k

b = 2

k = -0.5

Thus, the function is given by the equation y = -0.5x + 2