What is the slope intercept form of the line passing through #(1,-6) # with a slope of #-6 #?

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Answer 1 · 2017-04-07T13:15:05

See the entire solution process below:

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.

We have be given #m# as #-6# so we can substitute this value to give:

#y = color(red)(-6)x + color(blue)(b)#

We can now substitute the value of the points from the problem and solve for #b#:

#-6 = (color(red)(-6) xx 1) + color(blue)(b)#

#6 - 6 = 6 - color(red)(6) + color(blue)(b)#

#0 = 0 + b#

#b = 0#

Substituting this now gives:

#y = color(red)(-6)x + color(blue)(0)#