Respuesta :
Answer:
m=-3/2
Step-by-step explanation:
m=slope
m = (y2-y1)/(x2-x1)
first point: (-3/4,5)
second point: (5/4,2)
m= (2-5)/(5/4-(-3/4))
m= -3/2
[tex]\bf (\stackrel{x_1}{-\frac{3}{4}}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{\frac{5}{4}}~,~\stackrel{y_2}{2}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{2}-\stackrel{y1}{5}}}{\underset{run} {\underset{x_2}{\frac{5}{4}}-\underset{x_1}{(-\frac{3}{4})}}}\implies \cfrac{-3}{\frac{5}{4}+\frac{3}{4}}\implies \cfrac{-3}{\frac{5+3}{4}}\implies\cfrac{-3}{\frac{8}{4}}\implies \cfrac{-3}{2}[/tex]