Answer:
[tex]\displaystyle m=\frac{5}{4}[/tex]
Step-by-step explanation:
The slope between any two points is given by the slope formula:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Where (x₁, y₁) and (x₂, y₂) are our two points.
So, let’s let (4, 5) be (x₁, y₁) and let (8, 10) be (x₂, y₂). Substitute appropriately:
[tex]\displaystyle m=\frac{10-5}{8-4}[/tex]
Evaluate:
[tex]\displaystyle m=\frac{5}{4}[/tex]
Therefore, the slope between the two points is 5/4 or 1.25.
