Tool to compute a slope from 2 points. The slope coefficient of a line indicates the variation of the y-coordinate when the x-coordinate increments of 1 unit.
Slope Coefficient - dCode
Tag(s) : Geometry, Functions
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If a line is vertical then the slope coefficient is infinity $ \infty $.
Any line on the plane corresponds to an affine function of equation $ y = ax + b $ with $ a $ the directional coefficient and $ b $ the ordinate at the origin.
After finding the equation of the line from the directing coefficient (see above), then take 2 values for $ x $ (for example $ 0 $ and $ 1 $) and calculate the value of $ y $ for each value . The values $ (x_1, y_1) $ and $ (x_2, y_2) $ are the coordinates of 2 points on the line, connecting them is enough to draw the line.
Two lines are parallel if and only if their slope coefficients are equal.
If 2 lines have the same director coefficient then they are parallel.