How do you write an equation given the slope of a line and one point on the line m= -3 (1, -2)?

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Answer 1 · 2016-06-09T15:39:29

#y=mx+c" "->" "y=-3x+1#

Consider standard form of #y=mx+c#

We are given #m# and also a known condition #(x,y)->(1,-2)#

So by substitution we have

#y=mx+c" " ->" "-2=(-3)(1)+c#

Add 3 to both sides

#-2+3 = -3+3+c#

#1=0+c#

#c=1#

So the final equation is

#y=mx+c" "->" "y=-3x+1#