Question

Which function has the graph with the greatest y-intercept?

Answer 1

Answer:

C. h(x)=1/6x+6

Step-by-step explanation:

Answer 2

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) = $6x + \frac{1}{6}$

                       $y = 6x + \frac{1}{6}$

   comparing    y = mx +c

  slope of the line m = 6 and Y - intercept c= 1/6

b)    Given that  f(x) = $6x -6$

                        y = 6x -6

   comparing    y = mx +c

  slope of the line m = 6 and Y - intercept c= -6

c)

    Given that  f(x) = $\frac{1}{6} x +6$

                        y =  $\frac{1}{6} x +6$

   comparing    y = mx +c

  slope of the line m =  $\frac{1}{6}$  and Y - intercept c= 6 ( greatest intercept)

d)

 Given that  6 k(x) = x

                     k(x) = $\frac{1}{6} x$

                        y = $\frac{1}{6} x$

   comparing    y = m x +c

 The slope of the line m =$\frac{1}{6}$  and Y-intercept c=0

Final answer:-

The greatest y-intercept c = 6