How do you write the equation of the line in the form AX+BY=C if (-6, 6) and (3, -4)?

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Answer 1 · 2018-04-22T19:03:57

#-2/3=10/9x+y#

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

We find the slope using this formula:

#m=(x_2-x_1)/(y_2-y_1)#

#=>m=(-4-6)/(3-(-6))#

#=>m=-10/9#

We let #x_1=-6# and #y_1=6#

#=>-10/9(x-(-6))=y-6#

#=>-10/9(x+6)=y-6#

#=>-10/9x-20/3=y-6#

#=>-10/9x-2/3=y#

#=>-2/3=y+10/9x#

#=>-2/3=10/9x+y#

We see that #A=10/9#, #B=1#, and #C=-2/3#