Which function has the same y-intercept as the line graphed below?

Option D.

Step-by-step explanation:

we know that

The y-intercept is the value of y when the value of x is equal to zero

so

The y-intercept of the line graphed is the point (0,-4)

The value of b is equal to -4

Verify each function

case A) we have

separate in two terms

simplify

For x=0

therefore

The function has no the same y-intercept as the line graphed

case B) we have

For x=0

subtract 24 both sides

divide by 3 both sides

therefore

The function has no the same y-intercept as the line graphed

case C) we have

For x=0

divide by 4 both sides

therefore

The function has no the same y-intercept as the line graphed

case D) we have

For x=0

subtract 4 both sides

therefore

The function has the same y-intercept as the line graphed