Answer:
[tex]m=-\frac{1}{8}[/tex]
Step-by-step explanation:
The slope formula is [tex]m=\frac{rise}{run}[/tex], or [tex]m=\frac{y2-y1}{x2-x1}[/tex].
Plug in the coordinates into the formula.
[tex]\frac{4-5}{1-9} = \frac{-1}{-8} =-\frac{1}{8}[/tex]
[tex]m=-\frac{1}{8}[/tex]
The slope of the line that contains the points (9,4) and (1,5) is [tex]-\frac{1}{8}[/tex]