The graph of the line passing through the points (6,7) and (4,2) has a slope of

slope of line passing through the points  (x₁, y₁)  and  (x₂, y₂)   =   \(\dfrac{y_2-y_1}{x_2-x_1}\)

 

 

 

slope of line passing through the points  (6, 7)  and  (4, 2)   =   \(\dfrac{2-7}{4-6}\)   =   ?

As Hec solves above. remember slope = rise / run    'rise' would be the y direction ' run'  would be the x direction

    then use the formula in Hecticar's answer   and    note    it does not matter which point you call  x₁  y_{1    or}  x₂  y₂