Answer:
f(x) = -3x - 1
Step-by-step explanation:
The slope-intercept form of an equation of a line:
[tex]f(x)=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]
From the graph we have two points A(-1, 2) and B(0, -1) → b = -1.
Calculate the slope:
[tex]m=\dfrac{-1-2}{0-(-1)}=\dfrac{-3}{1}=-3[/tex]
Finally:
[tex]f(x)=-3x-1[/tex]
