Question

4y-8=2x in slope intercept form

Answer 1

Writing Linear Equations in its Slope-Intercept Form

Answer:

`y = (1)/(2)x +2\\`

Explanation:

Equations of a line written in Slope-Intercept Form are usually written as
`y = mx +b` where
`b` is the constant and is also the
`y`-intercept.
`mx` is the
`x` term where
`m` is the slope. Also, the
`y` term is usually found at left side of the equation and it has to have
`1` as its coefficient.

From the given equation we can see the constant
`-8` is on the left side but only the
`y` term gets to be on the left side so let's add
`8` to both sides of the equation to cancel out
`-8`.

`4y -8 = 2x \\ 4y -8 +8 = 2x +8 \\ 4y = 2x +8`

We can also see that the
`y` term has a coefficient of
`4`. So let's divide both sides of the equation by
`4` to make the coefficient of the
`y` term to
`1`

`4y = 2x +8 \\ (4y)/(4) = (2x +8)/(4) \\ y = (1)/(2)x +2`