Respuesta :

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Answer:

y = -x - 1

Step-by-step explanation:

From the graph we have:

y-intercept = -1

x-intercept = -1

The slope-intercept form of an equation of a line:

y = mx + b

m - slope

b - y-intercept

Therefore we have: y = mx - 1

Put the coordinates of the x-intercept to the equation:

(-1, 0) → x = -1 and y = 0:

0 = -1m - 1       add m to both sides

0 + m = -m + m - 1

m = -1

Finally we have the equation:

y = -1x - 1