What is the slope of x+y=0?

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Answer 1 · 2018-04-27T03:17:29

Slope $= - 1$ $=-1$

Well, we want the equation in terms of $y$ $y$ first so we can do that by subtracting both sides by $x$ $x$

$y + x - x = 0 - x$ $y+xcolor(red)(-x)=0color(red)(-x)$

$y = - x$ $y=-x$

This is simply a line that crosses the origin and is decreasing.

If we recall, $y = m x + b$ $y=mx+b$ , $m$ $m$ is the slope of the line which is the coefficient (or number) in front of the variable.

From our equation, the slope, $m$ $m$ is $- 1$ $-1$

Note: $- x$ $-x$ is the same as saying $- 1 x$ $-1x$