What is the equation of the line passing through #(1,2)# with slope #m= -5 #?

1 Answer
Jun 21, 2018

#y=-5x+11#

Explanation:

The equation of a line is #y=mx+c#. We are given the value for #m#, #m=-5#.
We can substitute this into the equation #y=mx+c# to get #y=-5x+c#
We are also given the point #(1,2)#
This means when #y=1#, #x=2#
We can use this information to substitute it into our line formula to get #1=-5(2)+c#
From this we can work out what c would be (by rearranging)
#1=-10+c# then turns into #1+10=c=11#, which we can then substitute into out original formula to get #y=-5x+11# or #11-5x-y=0#