Question

How do you write the equation in slope intercept form given `6x - 2y = 12`?

Answer 1

Equation in slope intercept form is `y=3x-6`.

Explanation:

Slope intercept form of a linear equation is `y=mx+c`, where `m` is the slope of the line and `c` is intercept on `y` axis.

For converting the linear equation `6x−2y=12` in slope intercept form, we have to transpose terms to get te value of `y`.

Hence, we transpose term containing `x` to RHS, which makes it

`-2y=-6x+12` and for getting value of `y`, let us divide both sides by `-2` and equation becomes

`y=(-6)/(-2)x+12/(-2)` or `y=3x-6`

Hence equation in slope intercept form is `y=3x-6`.