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

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Answer 1 · 2016-08-13T15:07:17

#y=-x+2#

The equation of a line passing through #(x_1,y_1)# and having a slope of #m# is given by

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

Hence equation of of a line with slope #-1# and paint through #(-5,7)# is

#y-7=(-1)×(x-(-5))# or

#y-7=(-1)×x-(-1)(-5)# or

#y-7=-x-5# or

#y=-x-5+7# or

#y=-x+2# in slope intercept form, where coefficient of #x#, which is #-1# is the slope and #2# is intercept on #y#-axis.