Question

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

Answer 1

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

Explanation:

Answer 2

The greatest y-intercept c = 6

Explanation:

we know that

slope-intercept form y = mx +c

a) Given that f(x) =
`6x + (1)/(6)`

`y = 6x + (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) =
`(1)/(6) x +6`

y =
`(1)/(6) x +6`

comparing y = mx +c

slope of the line m =
`(1)/(6)` and Y - intercept c= 6 ( greatest intercept)

d)

Given that 6 k(x) = x

k(x) =
`(1)/(6) x`

y =
`(1)/(6) x`

comparing y = m x +c

The slope of the line m =
`(1)/(6)` and Y-intercept c=0

Final answer:-

The greatest y-intercept c = 6