Respuesta :

Given two points (x₁,y₁) and (x₂,y₂), the slope of the line passes through these points will be:
m=(y₂-y₁)/(x₂-x₁)

In this case, the points are (-5,-4) and (1,-3) and the slope would be:
m=(-3+4)/(1+5)=1/6

Answer: the slope would be 1/6

Answer: [tex]m = \frac{1}{6}[/tex]



Step-by-step explanation:

(-5,-4) = (x1, y1)

(1,-3) = (x2, y2)

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

          = [tex]\frac{-3-(-4)}{1-(-5)}[/tex]

          = [tex]\frac{-3+4}{1+5}[/tex]

          = [tex]\frac{1}{1+5}[/tex]

          = [tex]\frac{1}{6}[/tex]