You can put this solution on YOUR website! To find the slope of your line 5x + 3y =12, solve for y.
3y = 12 -5x ---> y = 4 - 5/3x.
A line that would be parallel to this line has the same slope.
So we have a point and we have a slope. That means we need to use POINT-SLOPE form.
Recall m being a slope and point (x1,y1)
Then y-7 = 5/3(x-3)
y-7 = 5/3x -5