What is the slope intercept form of the line passing through #(4,-2) # with a slope of #-1/3 #?

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Answer 1 · 2015-12-12T03:58:36

#y=-1/3x-2/3#

The slope intercept form is

#y=mx+b#

Where m is the slope and b is the y intercept
So you what m is because you are given the slope

#m=-1/3#

So put that into the equation

#y=-1/3x+b#

Now substitute the point you were given (4,-2)

#-2=-1/3(4)+b#

Solve for b

#-2=-4/3+b#

#-2+4/3=b#

#b=-6/3+4/3#

#b=-2/3#

Now put the b into the formula

#y=-1/3x-2/3#