Respuesta :

Answer:

-1/3

Step-by-step explanation:

Answer:

[tex]y=\frac{-1}{3} x+4[/tex]

Step-by-step explanation:

Use the equation, [tex]y=mx+b[/tex].

'[tex]m[/tex]' will be your [tex]\frac{rise}{run}[/tex], or the slope of the equation.

'[tex]b[/tex]' is the y-intercept of the line or basically where the line touches the y axis.

The line touches the y-axis at y=4, so '[tex]b[/tex]' will be 4.

To figure out the '[tex]m[/tex]' value, count how many squares the line moves over and then how many squares it moves down.  In this case, it moves down 1 square and over three squares.  So the [tex]\frac{rise}{run}[/tex] will be [tex]\frac{-1}{3}[/tex].

To finalize the equation, you get [tex]y=\frac{-1}{3} x+4[/tex].