Respuesta :

Answer:

[tex]-\frac{1}{4}[/tex] or [tex]-1/4[/tex]

Step-by-step explanation:

Take two points (I'm guessing each square is a unit)

[tex](-4,0)(0,-1)[/tex]

Use the slope formula for when you have two points:

[tex]\frac{y(2)-y(1)}{x(2)-x(1)} =\frac{rise}{run}[/tex]

Rise over run is the change in the y-axis over the change in the x-axis. Insert values:

[tex]\frac{-1-0}{0-(-4)}[/tex]

Simplify parentheses

[tex]\frac{-1-0}{0+4}[/tex]

Simplify

[tex]\frac{-1}{4}\\ \\-\frac{1}{4}[/tex]

Done.