Answer:
y = -x - 1
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