Respuesta :

Answer:

The slope of the line is -1.

Step-by-step explanation:

To find the slope of any line given two points, we can use the following slope formula:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

We can see that we have the two points: (1,4) and (3,2).

Let's let (1,4) be (x₁, y₁) and let's let (3,2) be (x₂, y₂). So, substitute:

[tex]m=\frac{2-4}{3-1}[/tex]

Subtract:

[tex]m=-2/2[/tex]

Divide:

[tex]m=-1[/tex]

So, the slope of our line is -1.

Since it's negative, this tells us that is is going downwards.

And we're done!