How do you find the slope and intercept of #y + x = 0 #?

1 Answer
Mar 31, 2017

See the entire solution process below:

Explanation:

Solve for #y# to transform the equation to slope-intercept form. 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.

#y + x = 0#

#y + x - color(red)(x) = 0 - color(red)(x)#

y + 0 = -color(red)(x)#

#y = color(red)(-1)x + color(blue)(0)#

Therefore:

The slope is: #color(red)(m = -1)#

The y-ntercept is: #color(blue)(b = 0)# or #(0, 0)#