Respuesta :

The slope-intercept equation for the line is 


y=-2x-1

I hope this helps!

Answer:

Option C. y = -2x - 1

Step-by-step explanation:

The given line in the graph is in the form of y = mx + c

As it is clear from the graph the given line passes through 2 points ( 0, -1 ) and (-1, 1).

y-intercept of the line is = -1 unit

Now slope of the line can be calculated as m = [tex]\frac{y-y'}{x-x'}[/tex]

m = [tex]\frac{(1+1)}{(-1-0)}[/tex]

m = -2

Therefore, by putting these values of c (y-intercept) and slope m in the equation.

y = -2x - 1 will be the equation of the line.

Option C is the answer.