Question

How do you find the slope of `y-3x=1`?

Answer 1

The slope is `3`.

Explanation:

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

Let's make `y` by itself by adding `color(blue)(3x)` to both sides of the equation:
`y - 3x quadcolor(blue)(+quad3x) = 1 quadcolor(blue)(+quad3x)`

`y = 1 + 3x`

We know that the slope is the number multiplied by the `x`, so the slope is `3`.

Hope this helps!