Answer:
Slope is 5/4.
Step-by-step explanation:
The slope of two points can be expressed as [tex]\displaystyle \large{m=\frac{y_2-y_1}{x_2-x_1}[/tex] where m represents the slope,
Let (5,5) be (x1,y1) and (1,0) be (x2,y2). Thus:
[tex]\displaystyle \large{m=\frac{0-5}{1-5}=\frac{-5}{-4}=\frac{5}{4}}[/tex]
You can also consider both points other way around. We can let (1,0) be (x1,y1) and (5,5) be (x2,y2) and therefore:
[tex]\displaystyle \large{m=\frac{5-0}{5-1}=\frac{5}{4}}[/tex]
Therefore, the slope is 5/4.