Respuesta :

Alfpfeu

Answer:

y = -x - 1

Step-by-step explanation:

hello,

this is a line, right?

So the equation should be something like

y = ax+b and we need to find a and b

we can see that the points (-1,0) and (0,-1) are in the line so we can write

0 = a*(-1) + b <=> b - a = 0 <=> a = b

-1 = a*0 + b <=> b = -1

so the equation is

y = -x - 1

hope this helps

Answer:

y = - x - 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 2, 1) and (x₂, y₂ ) = (0, - 1)

m = [tex]\frac{-1-1}{0+2}[/tex] = [tex]\frac{-2}{2}[/tex] = - 1

The line crosses the y- axis at (0, - 1 ) ⇒ c = - 1

y = - x - 1 ← equation of line

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