Find the y-intercept of the following function:

Hi there!

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

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, )

Let me know if you have any questions!

q1 a person or thing situated away or detached from the main body or system. a cluster is a a mash of many things.

q2 do

step-by-step explanation:

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3