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

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)

Answer 2

Answer:

$y=2x+\frac{5}{2}$.

Step-by-step 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.

$\frac{2y}{2}=\frac{4x+5}{2}$

$y=\frac{4x}{2}+\frac{5}{2}$

$y=2x+\frac{5}{2}$

Therefore, our required equation would be $y=2x+\frac{5}{2}$.