Respuesta :

The slope of the line by definition is given by:
 m = (y2-y1) / (x2-x1)
 Substituting values we have:
 m = (7-1) / (1-10)
 Rewriting we have:
 m = (6) / (- 9)
 Simplifying we have:
 m = (2) / (- 3)
 m = -2 / 3
 Answer:
 
the slope of. the line that passes through the points (1,7), (10,1) is:
 
m = -2 / 3
 
option 4

Hello!

Step-by-step explanation:

Slope: [tex]\frac{Y^2-Y^1}{X^2-X^1}=\frac{rise}{run}[/tex]

[tex]\frac{1-7=-6}{10-1=9}=\frac{-6}{9}=\frac{-6/3}{9/3}=\frac{-2}{3}[/tex]

Slope is -2/3

Answer is -2/3

Hope this helps!