Question

What is the slope-intercept form of `13x+2y=12`?

Answer 1

The equation of a line represented in the form `y=mx+b` is known as the slope-intercept form. Step by step working is shown to get the solution.

Explanation:

The given equation is `13x+2y=12`
To get this into the form `y=mx+b`
`m` is the slope and `b` is the `y`-intercept.

Solve the given equation for `y` and we would get what we wanted.

`13x+2y=12`
Subtract `13x` from both the sides. This is done to get `y` term all alone on the left side of the equation.

`13x+2y-13x=12-13x`
`2y=12-13x`

We still have a `2` which is multiplied with `y` and we want `y` isolated. For this, we shall use the opposite operation of multiplication which is division.

The next step is to divide both sides by `2`

`(2y)/2=12/2-(13x)/2`

`y = 6 - 13/2x`

Let us rewrite this in the form `y=mx+b`

`y=-13/2x + 6` This is the slope-intercept form of the line.