Question

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

Answer 1

Answer:

The slope is 5/12

Step-by-step explanation:

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

$\displaystyle m=\frac{y_2-y_1}{x_2-x_1}$

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:

$\displaystyle m=\frac{6-1}{3-(-9)}$

Evaluate:

$\displaystyle m=\frac{5}{12}$

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