Question

If I have two points on a graph, let's say (4,5) and (8,10) what is the slope between the points? ​

Answer 1

`\displaystyle m=(5)/(4)`

Explanation:

The slope between any two points is given by the slope formula:

`\displaystyle m=(y_2-y_1)/(x_2-x_1)`

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:

`\displaystyle m=(10-5)/(8-4)`

Evaluate:

`\displaystyle m=(5)/(4)`

Therefore, the slope between the two points is 5/4 or 1.25.