Answer:
[tex]-\frac{5}{6}[/tex]
Step-by-step explanation:
Use the slope formula :[tex]\frac{y2-y1}{x2-x1}[/tex]
-1/2 is y2, 3/4 is y1, 5/6 is x2, and -2/3 is x1.
[tex]\frac{-1/2-3/4}{5/6-(-2/3)}[/tex]
[tex]\frac{-5/4}{5/6+2/3}[/tex]
[tex]\frac{-5/4}{9/6}[/tex]
[tex]\frac{-5}{4}[/tex] ÷ [tex]\frac{9}{6}[/tex]
[tex]-\frac{5}{4}[/tex] • [tex]\frac{6}{9}[/tex]
[tex]-\frac{5}{2}[/tex] • [tex]\frac{3}{9}[/tex]
[tex]-\frac{15}{18}[/tex]
[tex]-\frac{5}{6}[/tex]
Hope this helps! Let me know if I got it wrong.