Question

Find the slope of the line that contains (-9, 1) and (3,6).

Answer 1

The slope is 5/12

Explanation:

To find the slope between any two points, we can use the slope formula:

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

Where (x₁, y₁) and (x₂, y₂) are our two points.

We have the two points (-9, 1) and (3, 6).

Let’s let (-9, 1) be (x₁, y₁) and let (3, 6) be (x₂, y₂). Substitute appropriately:

`\displaystyle m=(6-1)/(3-(-9))`

Evaluate:

`\displaystyle m=(5)/(12)`

So, the slope of the line that contains the two points (-9, 1) and (3, 6) is 5/12.