Answer
$y=-2x-1$
Work Step by Step
Using $y-y_1=\dfrac{y_1-y_2}{x_1-x_2}(x-x_1)$ or the Two-Point Form, then the equation of the line passing through the given points, $(
2,-5
)\text{ and }(
0,-1
)$, is
\begin{array}{l}
y-(-5)=\dfrac{-5-(-1)}{2-0}(x-2)
\\\\
y+5=\dfrac{-5+1}{2}(x-2)
\\\\
y+5=\dfrac{-4}{2}(x-2)
\\\\
y+5=-2(x-2)
\\\\
y+5=-2x+4
\\\\
y=-2x+4-5
\\\\
y=-2x-1
.\end{array}