Question 980907
Find the equation for either form, and convert  (algebra steps) into the other form.


slope m, for the points  (4,-2) and (6,-8):
{{{m=(-8-(-2))/(6-4)=-6/2=-3}}}.
The slope perpendicular to this is  its negative reciprocal, which is {{{1/3}}}.


The wanted equation using POINT-SLOPE FORM  (because this is easier to arrange) is {{{highlight(y-(-5)=(1/3)(x-12))}}}, and this line passes through  (12,-5).


Convert the equation into slope intercept form, and into general form.



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Slope-Intercept Form will look like y=mx+b
and 
General Form will look like Ax+By=C.