Respuesta :
The slope of the lines passing through given points is [tex]\frac{5}{12}[/tex].
Step-by-step explanation:
Given,
The given two points are (6,6) and (-6,1).
To find the slope of the line passing through the points.
Formula
The slope of the line passing through ([tex]x_{1} ,y_{1}[/tex]) and ([tex]x_{2} ,y_{2}[/tex]) is [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
Now,
Putting, [tex]x_{1}=6, y_{1}=6, x_{2}=-6, y_{2}= 1[/tex] we get,
Slope = [tex]\frac{1-6}{-6-6}[/tex] = [tex]\frac{-5}{-12}[/tex] = [tex]\frac{5}{12}[/tex]
Hence,
The slope of the lines passing through given points is [tex]\frac{5}{12}[/tex].