What is the function rule for the line?
f(x)=−23x−2
f(x)=−32x+2
f(x)=−32x−2
f(x)=32x−2

Answer:
[tex]y=-\frac{2}{3}x-2[/tex]
Step-by-step explanation:
By the given graph,
The line is passes through (-3, 0) and (0, -2),
Since, the equation of the line passes through [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] is,
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
Thus, the equation of the line shown in the graph,
[tex]y-0=\frac{-2-0}{0+3}(x+3)[/tex]
[tex]y=-\frac{2}{3}(x+3)[/tex]
[tex]y=-\frac{2}{3}x-2[/tex]