## Question

###### What is the equation of a line passing through #(3, 4)# and having a slope of #-5#?

What is the equation of a line passing through #(3, 4)# and having a slope of #-5#?

## Answers

#y = -5x +19# ## Explanation:

There is a very nifty formula for exactly this situation where we are given the slope,

#m# , and one point,# (x_1,y_1)#

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

#y -4 = -5(x-3)#

#y -4 = -5x+15# The equation can be given in three different forms

#5x +y= 19#

#y = -5x +19#

#5x +y -19=0#

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