Answer:
slope = - [tex]\frac{3}{2}[/tex]
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = L (- 4, 3 ) and (x₂, y₂ ) = M (2, - 6 )
[tex]m_{LM}[/tex] = [tex]\frac{-6-3}{2-(-4)}[/tex] = [tex]\frac{-9}{2+4}[/tex] = [tex]\frac{-9}{6}[/tex] = - [tex]\frac{3}{2}[/tex]
