Slope of a Line given points (3, -4) and (-5, 2)

Given Coordinates: x₁ = 3  y₁ = -4,  x₂ = -5  y₂ = 2
Slope Formula: m  =  
Substitute the given coordinates into the Slope Formula and Simplify:m  =  m  =  m  =  m  =  –    (Greatest Common Factor of 6 and 8, GCF(6, 8) = 2)m  =  –
Therefore, the Slope of a Line given points (3, -4) and (-5, 2) is equal to  –

3/4

Note: As a decimal number,  –   = -0.75