Respuesta :

So remember that the slope formula is [tex] \frac{y_2-y_1}{x_2-x_1} [/tex], and the 2 coordinates that are given to us are (2,0) and (0,-4).

Using these two points, either [tex] \frac{-4-0}{0-2} [/tex] or [tex] \frac{0-(-4)}{2-0} [/tex] is acceptable.

we Know that

The formula to calculate the slope between two points is equal to

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

Let

[tex]A(0,-4)\ B(2,0)[/tex]

substitute the values in the formula

[tex]m=\frac{0-(-4)}{2-0}[/tex]

[tex]m=\frac{0+4}{2-0}[/tex]

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

therefore

the answer is the option

[tex]\frac{-4-0}{0-2}[/tex]