What is the slope intercept form of the line passing through #(12,7) # with a slope of #-1/5 #?

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Answer 1 · 2016-01-23T08:31:19

#y=-1/5x+47/5#

Given
Slope #-1/5#
Point #(12,7)#

The slope-point form of the line given slope #m# and point #(x_1,y_1)# is

#y-y_1=m(x-x_1)#

Let us plug in the given values

#y-7=-1/5(x-12)#

Remember this is not what we need. We need the equation to be in slope intercept form.

The slope intercept form : #y=mx+b# where #m# is the slope and #b# is the #y-#intercept.

We now have to simplify our equation from slope point form to get our answer.
#y-7=-1/5x + 12/5# #quad# distributing #-1/5#
Adding 7 to both the side

#y=-1/5x +12/5+7#

#y=-1/5x+ 47/5# answer.