Q:

What is the y-intercept of the function f(x) = –f(x) equals negative StartFraction 2 Over 9 EndFraction x plus StartFraction 1 Over 3 EndFraction.x + ?–negative StartFraction 2 Over 9 EndFraction.–negative StartFraction 1 Over 3 EndFraction.StartFraction 1 Over 3 EndFraction.StartFraction 2 Over 9 EndFraction.

Accepted Solution

A:
Answer: Third optionStep-by-step explanation: The equation of the line in Slope-Intercept form is: [tex]y=mx+b[/tex] Where "m" is the slope of the line and "b" is the y-intercept. Given the function f(x): [tex]f(x)=-\frac{2}{9}x+\frac{1}{3}[/tex] Since [tex]f(x)=y[/tex], you can rewrite it: [tex]y=-\frac{2}{9}x+\frac{1}{3}[/tex] You can identify that: [tex]m=-\frac{2}{9}\\\\b=\frac{1}{3}[/tex] Therefore, you can determine that the y-intercept of the given function is: [tex]b=\frac{1}{3}[/tex] Observe that this matches with the third option.