What is the equation of the line with slope # m= -1/13 # that passes through # (-29,17) #?

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Answer 1 · 2016-09-15T14:45:50

#y = - (1) / (13) (x - 192)#

We have: #m = - (1) / (13)# and #(- 29, 17)#

We can use this information to write an equation in the "point-slope form": #y - y_(1) = m (x - x_(1))#

#=> y - (17) = (- (1) / (13)) (x - (- 29))#

#=> y - 17 = - (1) / (13) (x + 29)#

Let's rearrange it to "slope-intercept form":

#=> y - 17 = - (1) / (13) x - (29) / (13)#

#=> y = - (1) / (13) x - (29) / (13) + 17#

#=> y = - (1) / (13) x + (192) / (13)#

#=> y = - (1) / (13) (x - 192)#