I am suppose to take the equation y-2=m(-x-(-4)) and write it into standard or general form Ax+By=C, but I don't understand how to do that. Any help would be greatly appreciated.


Let me give it a try.

y-2=m(-x-(-4))

You want to use algebra to turn this equation into something that looks like Ax+By=C using algebraic steps:

y-2=m(-x-(-4))

y-2=m(-x+4)

Distribute the m:

y-2=-mx+4m

mx+y-2=4m

mx+y=4m+2

This now looks like Ax+By=C:

A=m

B=1

C=4m+2

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