Question

What is the slope of `2y=-17y+13x+23`?

Answer 1

`m=13/19`

Explanation:

When you write the equation in slope intercept form, the slope will be the coefficient of `x`.

Slope intercept equation:

`y=mx+b`
where `m=` the slope

We have `2y=-17y+13x+23`

To write this in slope intercept form, we need to combine the `y` terms and isolate them to one side of the equation. First, add `17y` to both sides of the equation:

`2y+17y=-17y +17y+13x+23`
`19y=13x+23`

The last step is to divide off the `y` coefficient:

`(19y)/19=(13x+23)/19`

Now we have:
`y=13/19x+23/19`

Thus, `m=13/19`