The dlope-intercept form:
[tex]y=mx+b[/tex]
m - slope
b - y-intercept (0, b)
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have two points from the graph
x-intercept: (-1, 0)
y-intercept: (0, - 1) → b = -1
Substitute to the formula of a slope:
[tex]m=\dfrac{-1-0}{0-(-1)}=\dfrac{-1}{1}=-1[/tex]
Answer: y = -1x - 1 = -x - 1
