Question

How do you find the slope given `3x+y=4`?

Answer 1

See the entire solution process below:

Explanation:

This equation is in Standard Form. 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

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

The equation from the problem is:

`color(red)(3)x + color(blue)(1)y = color(green)(4)`

Therefore the slope of the line represented by this equation is:

`m = -color(red)(3)/color(blue)(1) = -3`