Answer:
The greatest y-intercept c = 6
Step-by-step explanation:
we know that
slope-intercept form y = mx +c
a) Given that f(x) = [tex]6x + \frac{1}{6}[/tex]
[tex]y = 6x + \frac{1}{6}[/tex]
comparing y = mx +c
slope of the line m = 6 and Y - intercept c= 1/6
b) Given that f(x) = [tex]6x -6[/tex]
y = 6x -6
comparing y = mx +c
slope of the line m = 6 and Y - intercept c= -6
c)
Given that f(x) = [tex]\frac{1}{6} x +6[/tex]
y = [tex]\frac{1}{6} x +6[/tex]
comparing y = mx +c
slope of the line m = [tex]\frac{1}{6}[/tex] and Y - intercept c= 6 ( greatest intercept)
d)
Given that 6 k(x) = x
k(x) = [tex]\frac{1}{6} x[/tex]
y = [tex]\frac{1}{6} x[/tex]
comparing y = m x +c
The slope of the line m =[tex]\frac{1}{6}[/tex] and Y-intercept c=0
Final answer:-
The greatest y-intercept c = 6
