Identify two distinct points on the line: ((x_1, y_1)) and ((x_2, y_2))
Use the slope formula: (m = dfrac{y_2 – y_1}{x_2 – x_1})
Compute the numerator: (y_2 – y_1)
Compute the denominator: (x_2 – x_1)
Divide: (m = dfrac{y_2 – y_1}{x_2 – x_1})
If the line is given as (y = mx + b), the slope is the coefficient of (x): (m)
If the line is given as (Ax + By = C), rewrite to slope-intercept form to find (m = -dfrac{A}{B}) (when (B neq 0))
If (x_1 = x_2), the line is vertical and the slope is undefined