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]