Question

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

Answer 1

Option D.
`y+4=2x`

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

`y=(16-3x)/(4)`

separate in two terms

`y=(16)/(4)-(3x)/(4)`

simplify

`y=4-(3x)/(4)`

For x=0

`y=4-(3(0))/(4)`

`y=4`

`4\\eq -4`

therefore

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

case B) we have

`24+3y=6x`

For x=0

`24+3y=6(0)`

`24+3y=0`

subtract 24 both sides

`3y=-24`

divide by 3 both sides

`y=-8`

`-8\\eq -4`

therefore

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

case C) we have

`4y+x=16`

For x=0

`4y+0=16`

`4y=16`

divide by 4 both sides

`y=4`

`4\\eq -4`

therefore

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

case D) we have

`y+4=2x`

For x=0

`y+4=2(0)`

`y+4=0`

subtract 4 both sides

`y=-4`

`-4=-4`

therefore

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