Question

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

Answer 1

Answer:

Option D. $y+4=2x$

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

$y=\frac{16-3x}{4}$

separate in two terms

$y=\frac{16}{4}-\frac{3x}{4}$

simplify

$y=4-\frac{3x}{4}$

For x=0

$y=4-\frac{3(0)}{4}$

$y=4$

$4\neq -4$

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

$y=-8$

$-8\neq -4$

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

$y=4$

$4\neq -4$

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