Question

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

Answer 1

See the entire solution process below:

Explanation:

We need to transform this equation to slope-intercept form by solving for `y`. The slope-intercept form of a linear equation is: `y = color(red)(m)x + color(blue)(b)`

Where `color(red)(m)` is the slope and `color(blue)(b)` is the y-intercept value.

`-color(red)(x) + x + y = -color(red)(x) +4`

`0 + y = -x + 4`

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

The slope of this equation is `color(red)(m = -1)`