Respuesta :
Step-by-step explanation:
To calculate a slope, we need to apply: [tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
Applying formula to each slope:
[tex]m_{AB}=\frac{5-1}{-2-(-5)} = \frac{4}{3} \\m_{BC}=\frac{3-5}{5-(-2)} =\frac{-2}{7}\\m_{CD}=\frac{-1-3}{2-5}=\frac{-4}{-3} =\frac{4}{3}[/tex]
So, as you can see, there are equal pair of slopes, meaning that they are parallels, which demonstrate that it's actually a quadrilateral figure.
Answer: slope (AB)= 4/3 slope(BC)=-2/7 slope(CD) =4/3 slope(AD) = -2/7
Step-by-step explanation:
To find the slope, lets take a pair ones after the other
A(-5, 1) B(-2,5)
Given; x₁ =-5 y₁ = 1 x₂=-2 y₂=5
slope(AB) = y₂ - y₁ / x₂ - x₁
=5 - 1 / -2--5
=4/3
slope BC
B(-2, 5) c(5,3)
Given;
x₁=-2 y₁=5 x₂=5 y₂=3
slope(BC) = y₂ - y₁ / x₂ - x₁
= 3-5 / 5--2
=-2/7
slope CD
C(5, 3) D(2, -1)
Given;
x₁ = 5 y₁ = 3 x₂ = 2 y₂= -1
slope(CD)= y₂ - y₁ / x₂ - x₁
= -1-3 / 2-5
= -4/-3
= 4/3
slope AD
A(-5, 1) D(2, -1)
Given;
x₁ = -5 y₁ =1 x₂ =2 y₂ =-1
slope(AD) = y₂ - y₁ / x₂ - x₁
= -1-1 / 2--5
= -2/7
