Question

How do you identify the slope for `x - 2y = 4`?

Answer 1

Let's remember the general linear equation of `y=mx+c`
We have to arrange `x-2y=4` into the form of `y=mx+c`

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

We have to ensure that the coefficient of y is 1 to get linear equation.

`-2y=-x+4` From here, we divide the whole equation by -2

`(-2y)/-2=(-x+4)/-2`
`y=1/2x-2`

Let's refer to the general linear equation: `y=mx+c` where `m` is the slope of a line.
`y=1/2x-2`
From here, we can see that `1/2` is in the place of `m` as the slope.
Thus, `m=1/2`