How do you find the slope and slope intercept form for #x+y=-5#?
The linear equation x + y = -5 is in a nice "general" form sometimes referred to as Standard Form: Ax + By = C. You can find the slope by doing one of two different things:
- Solve for y = (put the equation into slope-intercept form) or
- Use a "formula"
If you actually solve the Standard Form itself for y = ...
Ax + By = C
(subtract Ax from both sides)
By = -Ax + C
(divide both sides by B)
So, the slope for your equation x + y = -5 would be
This is the same way that you would put your equation into slope-intercept form:
which helps you to identify both the slope (-1) and the y-intercept (-5).