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

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:

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