Question

What is the slope of the equation: `5x - 6y = 30`?

Answer 1

See the entire solution process below:

Explanation:

This equation is in the Standard Form for a linear equation. The standard form of a linear equation is: `color(red)(A)x + color(blue)(B)y = color(green)(C)`

Where, if at all possible, `color(red)(A)`, `color(blue)(B)`, and `color(green)(C)`are integers, and A is non-negative, and, A, B, and C have no common factors other than 1

So, for this equation: `color(red)(5)x - color(blue)(6)y = color(green)(30)`

The slope of an equation in standard form is: `m = -color(red)(A)/color(blue)(B)`

So the slope for this equation is:

`m = (-color(red)(5))/color(blue)(-6) = 5/6`