Respuesta :

X1= 0
Y1= -8
X2= -5
Y2= 4

M=(y2-y1)/(x2-x1)
M= (4- -8)/(-5-0)
M= (4+8)/(-5-0)
M= (12)/(-5)
M= -2.4

Answer:

13 units

Step-by-step explanation:

Calculate the distance using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = (0, - 8) and (x₂, y₂ ) = (- 5, 4)

d = [tex]\sqrt{(-5-0)^2+(4-(-8))^2}[/tex]

   = [tex]\sqrt{(-5)^2+(4+8)^2}[/tex]

   = [tex]\sqrt{25+12^2}[/tex]

   = [tex]\sqrt{25+144}[/tex]

   = [tex]\sqrt{169}[/tex]

   = 13

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