<span>Hello : let
A(-3,7) B(3,3)
the slope is : (YB - YA)/(XB -XA)
(3-7)/(3+3) = -2/3
an equation is : y=ax+b a is a slope</span>
y = (-2/3)x +b
the line through point B (3,3) :
3 = (-2/3)(3)+b<span>
<span>b =5
the equation is : y =(-2/3)x+5</span></span>
It already is in simplest form because the numerator and denonimator don't have a common factor to then divide them by.