What is the equation of the line?

Hello : let
A(-4,5) B(-5,-4)
the slope is : (YB - YA)/(XB -XA)
(-4-5)/(-5+4) = -9/-1=9
an equation is : y=ax+b a is a slope
y = 9x +b
the line through point A(-4,5) :
5 = 9(-4)+b
b =41
the equation is : y =9x+41