what is the slope-intercept equation of the line below?

Answer: The right option is D: y = -2x - 1
Step-by-step explanation:
We can see that the line pases through the points (0, -1) and (-1, 1)
So the slope of this line is:
[tex]s = \frac{-1 - 1}{0 - (-1)} = -2[/tex]
this means that our equation is of the form:
y(x) = -2x + b
where b is the y-intercept.
We already know that y(0) = -1 = -2*0 + b = b
so b= -1.
then the equation of the line is y(x) = -2x - 1