Question

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

Answer 1

See a solution process below:

Explanation:

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

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

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

Substituting the values from the equation in the problem gives the slope as:

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

Answer 2

`"slope" = -1`

Explanation:

Recall equation of a line: `y = mx + c`

Where;

`m -> "slope"`

Given;

`x + y = -3`

Making `y` the subject formula..

`x + y = - 3`

Subract `x` from both sides..

`x - x + y = - 3 - x`

`0 + y = - 3 - x`

`y = - 3 - x`

`y = -x - 3`

`y = -1(x) - 3`

Hence the slope of the equation is `-1`