Question

What is the slope of `2=-15y+13x`?

Answer 1

The slope is `13/15`.

Explanation:

To find the slope, first make the equation in slope-intercept form (shown below) so that we can find the slope easier:

First, add `color(blue)(15y)` to both sides of the equation:
`2 quadcolor(blue)(+quad15y) = -15y + 13x quadcolor(blue)(+quad15y)`

`2 + 15y = 13x`

Subtract `color(blue)2` from both sides:
`2 + 15y quadcolor(blue)(-quad2) = 13x quadcolor(blue)(-quad2)`

`15y = 13x - 2`

Divide both sides by `color(blue)15`:
`(15y)/color(blue)15 = (13x-2)/color(blue)15`

`y = 13/15x - 2/15`

We know that the number multiplied by `x` is the slope, meaning that the slope is `13/15`.

Hope this helps!

Answer 2

`13/15`

Explanation:

We can easily find the slope by converting this equation into slope-intercept form

`y=mx+b`, with slope `m`.

We have the equation

`-15y+13x=2`

Let's subtract `13x` from both sides to get

`-15y=-13x+2`

Next, divide both sides by `-15` to get

`y=13/15x-2/15`

We see that the coefficient on our `x` term is `13/15`, which is our slope.

Hope this helps!