Question 174362
Find an equation of the line that is parallel to the line 
If a line is to be parallel to:
y=-4/3x+7 
It must have the same slope: -4/3
That, along with the given point of (7,3) is plugged into the "point-slope" form:
y-y1 = m(x-x1)
y-3 = (-4/3)(x-7)
y-3 = (-4/3)(x)- 7(-4/3)
y-3 = (-4/3)(x)+ 28/3
y = (-4/3)(x)+ 28/3 +3
y = (-4/3)(x)+ 28/3 + 9/3
y = (-4/3)(x)+ 37/3  (this is what you're looking for)