Question

How do you find the slope of a line `30x - 5y = 5.6`?

Answer 1

The slope is `6`.

Explanation:

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

`30x - 5y = 5.6`

Subtract `color(blue)(30x)` from both sides of the equation:
`30x - 5y quadcolor(blue)(-quad30x) = 5.6 quadcolor(blue)(-quad30x)`

`-5y = 5.6 - 30x`

Divide both sides by `color(blue)(-5)`:
`(-5y)/color(blue)(-5) = (5.6-30x)/color(blue)(-5)`

`y = -1.12 + 6x`

`y = 6x - 1.12`

We know that the slope is the value multiplied by the `x`, meaning that the slope is `6`.

Hope this helps!