Slope coefficient of the line

What is the slope coefficient of the line? If you imagine a line passing through two points in a rectangular coordinate system (OX, OY), then the tangent of the angle formed with the axis OX and the line – is the slope coefficient of the given line.

For example, the slope coefficient of the line (a), passing through points A (X1, Y1) and B (X2, Y2) will be equal to the tangent of (tg) the triangle, whose hypotenuse is the line (a) or segment AB.

Thus, you can find out the angle of inclination of the line (a) to the abscissa axis OX. The angle is determined between the axis OX and the line (a) in a counterclockwise direction. That is, if the slope coefficient is greater than zero (k›0), then the angle of inclination is obtuse. If the slope coefficient is less than zero (k‹0), then the angle of inclination is acute. If the coefficient (k) is equal to zero, then the line (a) is parallel to the OX axis. If the coefficient (k) does not exist – is determined to be infinite – then the line (a) is positioned in the coordinate system parallel to the axis OY.

The slope coefficient can be calculated using the online calculator. You just need to substitute the data of the points in the coordinate system through which the given line passes, and the calculator will calculate the slope coefficient. By substituting the values into the line equation with the slope coefficient, you can determine – whether a randomly given point in the coordinate system belongs to this line.