How do you find the slope and intercept of #y=-2#?

1 Answer
smendyka
Mar 27, 2018

See a solution process below:

Explanation:

One method is to write this in 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 = -2# can be rewritten as:

#y = color(red)(0)x - color(blue)(2)#

#y = color(red)(0)x + color(blue)(-2)#

Therefore:

  • The slope is: #color(red)(m = 0)#

  • The #y#-intercept is: #color(blue)(-2)# or #(0, color(blue)(-2))#

Another method is to know this form of equation represents a horizontal line where for each and every value of #x#; #y# has the same values, in this case #-2#

By definition, the slope of a horizontal line is #color(red)(0)#

And, if #y# has the same value for each and every value of #x#, the #y#-intercept is #(0, color(blue)(2))#

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