Respuesta :

The slope of four sides are as given, AB ⇒-3, BC⇒ [tex]\frac{-1}{4}[/tex], CD⇒-3, DA⇒[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

Given,

A = (-3,1)

B = (-2,-2)

C = (2,3)

D = (0,3)

Formula

The value of slope(m) of two given points (x1, y1) and (x2, y2) is

m= [tex]\frac{y2-y1}{x2-x1}[/tex]

  • The slope of AB is = [tex]\frac{-2-1}{-2-(-3)}[/tex] = [tex]\frac{-3}{1}[/tex] = -3
  • The slope of BC is = [tex]\frac{-3-(-2)}{2-(-2)}[/tex] = [tex]\frac{-1}{4}[/tex]
  • The slope of CD is = [tex]\frac{3-(-3)}{0-2}[/tex] = [tex]\frac{6}{-2}[/tex] = -3
  • The slope of DA is = [tex]\frac{1-3}{-3-0}[/tex] = [tex]\frac{-2}{-3}[/tex] = [tex]\frac{2}{3}[/tex]

[For finding the slope of AB we take, B as (x2,y2) and A as (x1, y1)

These same this follow for every sides]