Составьте уравнения сторон треугольника MNK, если: M(-1;2) N(5;3) K(4;1)

To find the equations of the sides of triangle MNK, we can use the point-slope form of a linear equation. The equation for a line passing through points (x1, y1) and (x2, y2) is given by:

y - y1 = (y2 - y1) / (x2 - x1) * (x - x1)

For the line passing through points M(-1, 2) and N(5, 3):

y - 2 = (3 - 2) / (5 - (-1)) * (x - (-1))

Simplifying, we get:

y - 2 = 1/6 * (x + 1)

For the line passing through points N(5, 3) and K(4, 1):

y - 3 = (1 - 3) / (4 - 5) * (x - 5)

Simplifying, we get:

y - 3 = -2 * (x - 5)