Question

Write the equation 2y − 4x = 5 in the form y = mx +

b. y equals two x plus start fraction five over two end fraction y = 2x + 5 y equals minus two x plus start fraction five over two end fraction y = 2x + 5

Answer 1

`y=2x+(5)/(2)`.

Explanation:

We have been equation of a line in standard form of equation
`2y-4x=5`. We are asked to write our given equation in slope-intercept form of equation
`y=mx+b`.

To convert our given equation in slope-intercept form, we need to separate y on one side of equation using opposite operations.

Add
`4x` on both sides:

`2y-4x+4x=5+4x`

`2y=4x+5`

Now, we will divide both sides of our equation by 2.

`(2y)/(2)=(4x+5)/(2)`

`y=(4x)/(2)+(5)/(2)`

`y=2x+(5)/(2)`

Therefore, our required equation would be
`y=2x+(5)/(2)`.

Answer 2

Starting with 2y − 4x = 5, solve for y. To do this, add 4x to both sides, obtaining 2y = 4x+5. Divide both sides by 2, obtaining

y = 2x + 5/2 (answer)