Question

Find the y-intercept of the following function:

$2x - 4y = 9$

Answer 1

Hi there!

$\large\boxed{0, -\frac{9}{4} }$

2x - 4y = 9

Begin by isolating the y variable by moving 2x to the right-hand side of the equation. (Subtract 2x from both sides):

2x - 2x - 4y = 9 - 2x

-4y = 9 - 2x

Further isolate by dividing both sides by -4:

-4y / (-4) = (9 - 2x) / (-4)

y = -9/4 - 2x/(-4)

Simplify further:

y = -9/4 + 1/2x

y = 1/2x - 9/4

The "b" value is the y-intercept, therefore:

x = 0 at y = -9/4

Answer 2

Answer:

$\huge\boxed{(0, \frac{-9}{4} )}$

Step-by-step explanation:

2x - 4y = 9

To find the y-intercept, set the x value in the equation to 0.

Rewrite

2(0) - 4y = 9

Simplify

-4y = 9

Multiply both sides of the equation by -1

4y = 9

Divide both sides of the equation by 4

y = -9/4

y = -4.5

Now that we know the y intercept, we can find the coordinate.

(x, y)

Substitute

(0, $\frac{-9}{4}$)

Let me know if you have any questions!